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Finding the Fourth Proportional to 78,343,853.30, 109,794,768.70 and 78,343,853.30

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Solution

The fourth proportional to 78,343,853.30, 109,794,768.70 and 78,343,853.30 is: 109,794,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,343,853.30 : 109,794,768.70 = 78,343,853.30 : x
  2. Step 2: Convert to fraction form
    78,343,853.30/109,794,768.70 = 78,343,853.30/x
  3. Step 3: Cross multiply
    78,343,853.30x = 109,794,768.70 × 78,343,853.30
  4. Step 4: Simplify right side
    78,343,853.30x = 8,601,745,252,140,232
  5. Step 5: Solve for x
    x = 8,601,745,252,140,232/78,343,853.30
  6. Step 6: Final answer
    x = 109,794,768.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.