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Finding the Fourth Proportional to 257,073.72, 385,689.36 and 115,038.54

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Solution

The fourth proportional to 257,073.72, 385,689.36 and 115,038.54 is: 172,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,073.72 : 385,689.36 = 115,038.54 : x
  2. Step 2: Convert to fraction form
    257,073.72/385,689.36 = 115,038.54/x
  3. Step 3: Cross multiply
    257,073.72x = 385,689.36 × 115,038.54
  4. Step 4: Simplify right side
    257,073.72x = 44,369,140,867.93
  5. Step 5: Solve for x
    x = 44,369,140,867.93/257,073.72
  6. Step 6: Final answer
    x = 172,593.06

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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.