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Finding the Fourth Proportional to 102,240.90, 141,093.90 and 56,920.86

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Solution

The fourth proportional to 102,240.90, 141,093.90 and 56,920.86 is: 78,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,240.90 : 141,093.90 = 56,920.86 : x
  2. Step 2: Convert to fraction form
    102,240.90/141,093.90 = 56,920.86/x
  3. Step 3: Cross multiply
    102,240.90x = 141,093.90 × 56,920.86
  4. Step 4: Simplify right side
    102,240.90x = 8,031,186,128.75
  5. Step 5: Solve for x
    x = 8,031,186,128.75/102,240.90
  6. Step 6: Final answer
    x = 78,551.60

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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.