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Finding the Fourth Proportional to 98,400.32, 135,790.74 and 55,957.88

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Solution

The fourth proportional to 98,400.32, 135,790.74 and 55,957.88 is: 77,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,400.32 : 135,790.74 = 55,957.88 : x
  2. Step 2: Convert to fraction form
    98,400.32/135,790.74 = 55,957.88/x
  3. Step 3: Cross multiply
    98,400.32x = 135,790.74 × 55,957.88
  4. Step 4: Simplify right side
    98,400.32x = 7,598,561,934.03
  5. Step 5: Solve for x
    x = 7,598,561,934.03/98,400.32
  6. Step 6: Final answer
    x = 77,220.91

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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.