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Finding the Fourth Proportional to 65,781.84, 90,778.80 and 37,487.52

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Solution

The fourth proportional to 65,781.84, 90,778.80 and 37,487.52 is: 51,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,781.84 : 90,778.80 = 37,487.52 : x
  2. Step 2: Convert to fraction form
    65,781.84/90,778.80 = 37,487.52/x
  3. Step 3: Cross multiply
    65,781.84x = 90,778.80 × 37,487.52
  4. Step 4: Simplify right side
    65,781.84x = 3,403,072,080.58
  5. Step 5: Solve for x
    x = 3,403,072,080.58/65,781.84
  6. Step 6: Final answer
    x = 51,732.70

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1.5x scale

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.