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Finding the Fourth Proportional to 78,415.70, 117,623.55 and 43,423.70

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Solution

The fourth proportional to 78,415.70, 117,623.55 and 43,423.70 is: 65,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,415.70 : 117,623.55 = 43,423.70 : x
  2. Step 2: Convert to fraction form
    78,415.70/117,623.55 = 43,423.70/x
  3. Step 3: Cross multiply
    78,415.70x = 117,623.55 × 43,423.70
  4. Step 4: Simplify right side
    78,415.70x = 5,107,649,748.14
  5. Step 5: Solve for x
    x = 5,107,649,748.14/78,415.70
  6. Step 6: Final answer
    x = 65,135.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.