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Finding the Fourth Proportional to 65,927.31, 90,957.31 and 37,242.78

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Solution

The fourth proportional to 65,927.31, 90,957.31 and 37,242.78 is: 51,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,927.31 : 90,957.31 = 37,242.78 : x
  2. Step 2: Convert to fraction form
    65,927.31/90,957.31 = 37,242.78/x
  3. Step 3: Cross multiply
    65,927.31x = 90,957.31 × 37,242.78
  4. Step 4: Simplify right side
    65,927.31x = 3,387,502,992.61
  5. Step 5: Solve for x
    x = 3,387,502,992.61/65,927.31
  6. Step 6: Final answer
    x = 51,382.39

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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.