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Finding the Fourth Proportional to 102,117.60, 140,907.60 and 56,793.24

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Solution

The fourth proportional to 102,117.60, 140,907.60 and 56,793.24 is: 78,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,117.60 : 140,907.60 = 56,793.24 : x
  2. Step 2: Convert to fraction form
    102,117.60/140,907.60 = 56,793.24/x
  3. Step 3: Cross multiply
    102,117.60x = 140,907.60 × 56,793.24
  4. Step 4: Simplify right side
    102,117.60x = 8,002,599,144.62
  5. Step 5: Solve for x
    x = 8,002,599,144.62/102,117.60
  6. Step 6: Final answer
    x = 78,366.50

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1.5x scale

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.