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Finding the Fourth Proportional to 172,565.68, 258,831.51 and 54,233.86

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Solution

The fourth proportional to 172,565.68, 258,831.51 and 54,233.86 is: 81,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,565.68 : 258,831.51 = 54,233.86 : x
  2. Step 2: Convert to fraction form
    172,565.68/258,831.51 = 54,233.86/x
  3. Step 3: Cross multiply
    172,565.68x = 258,831.51 × 54,233.86
  4. Step 4: Simplify right side
    172,565.68x = 14,037,431,876.93
  5. Step 5: Solve for x
    x = 14,037,431,876.93/172,565.68
  6. Step 6: Final answer
    x = 81,345.44

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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.