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Finding the Fourth Proportional to 143,957.76, 198,621.36 and 83,516.40

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Solution

The fourth proportional to 143,957.76, 198,621.36 and 83,516.40 is: 115,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,957.76 : 198,621.36 = 83,516.40 : x
  2. Step 2: Convert to fraction form
    143,957.76/198,621.36 = 83,516.40/x
  3. Step 3: Cross multiply
    143,957.76x = 198,621.36 × 83,516.40
  4. Step 4: Simplify right side
    143,957.76x = 16,588,140,950.30
  5. Step 5: Solve for x
    x = 16,588,140,950.30/143,957.76
  6. Step 6: Final answer
    x = 115,229.22

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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.