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Finding the Fourth Proportional to 98,510.57, 147,787.46 and 31,957.43

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Solution

The fourth proportional to 98,510.57, 147,787.46 and 31,957.43 is: 47,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,510.57 : 147,787.46 = 31,957.43 : x
  2. Step 2: Convert to fraction form
    98,510.57/147,787.46 = 31,957.43/x
  3. Step 3: Cross multiply
    98,510.57x = 147,787.46 × 31,957.43
  4. Step 4: Simplify right side
    98,510.57x = 4,722,906,509.10
  5. Step 5: Solve for x
    x = 4,722,906,509.10/98,510.57
  6. Step 6: Final answer
    x = 47,943.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.