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Finding the Fourth Proportional to 78,948.10, 109,021.13 and 50,702.99

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Solution

The fourth proportional to 78,948.10, 109,021.13 and 50,702.99 is: 70,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,948.10 : 109,021.13 = 50,702.99 : x
  2. Step 2: Convert to fraction form
    78,948.10/109,021.13 = 50,702.99/x
  3. Step 3: Cross multiply
    78,948.10x = 109,021.13 × 50,702.99
  4. Step 4: Simplify right side
    78,948.10x = 5,527,697,663.49
  5. Step 5: Solve for x
    x = 5,527,697,663.49/78,948.10
  6. Step 6: Final answer
    x = 70,016.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.