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Finding the Fourth Proportional to 102,367.86, 141,271.98 and 57,045.86

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Solution

The fourth proportional to 102,367.86, 141,271.98 and 57,045.86 is: 78,725.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,367.86 : 141,271.98 = 57,045.86 : x
  2. Step 2: Convert to fraction form
    102,367.86/141,271.98 = 57,045.86/x
  3. Step 3: Cross multiply
    102,367.86x = 141,271.98 × 57,045.86
  4. Step 4: Simplify right side
    102,367.86x = 8,058,981,593.00
  5. Step 5: Solve for x
    x = 8,058,981,593.00/102,367.86
  6. Step 6: Final answer
    x = 78,725.70

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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.