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Finding the Fourth Proportional to 257,298.01, 386,052.72 and 107,569.92

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Solution

The fourth proportional to 257,298.01, 386,052.72 and 107,569.92 is: 161,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,298.01 : 386,052.72 = 107,569.92 : x
  2. Step 2: Convert to fraction form
    257,298.01/386,052.72 = 107,569.92/x
  3. Step 3: Cross multiply
    257,298.01x = 386,052.72 × 107,569.92
  4. Step 4: Simplify right side
    257,298.01x = 41,527,660,206.18
  5. Step 5: Solve for x
    x = 41,527,660,206.18/257,298.01
  6. Step 6: Final answer
    x = 161,399.07

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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.