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Finding the Fourth Proportional to 66,407, 91,642.98 and 36,192.20

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Solution

The fourth proportional to 66,407, 91,642.98 and 36,192.20 is: 49,945.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,407 : 91,642.98 = 36,192.20 : x
  2. Step 2: Convert to fraction form
    66,407/91,642.98 = 36,192.20/x
  3. Step 3: Cross multiply
    66,407x = 91,642.98 × 36,192.20
  4. Step 4: Simplify right side
    66,407x = 3,316,761,060.76
  5. Step 5: Solve for x
    x = 3,316,761,060.76/66,407
  6. Step 6: Final answer
    x = 49,945.96

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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.