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Finding the Fourth Proportional to 99,800.16, 137,724.21 and 68,024.58

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Solution

The fourth proportional to 99,800.16, 137,724.21 and 68,024.58 is: 93,873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,800.16 : 137,724.21 = 68,024.58 : x
  2. Step 2: Convert to fraction form
    99,800.16/137,724.21 = 68,024.58/x
  3. Step 3: Cross multiply
    99,800.16x = 137,724.21 × 68,024.58
  4. Step 4: Simplify right side
    99,800.16x = 9,368,631,541.08
  5. Step 5: Solve for x
    x = 9,368,631,541.08/99,800.16
  6. Step 6: Final answer
    x = 93,873.91

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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.