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Finding the Fourth Proportional to 78,357.57, 117,433.68 and 36,232.30

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Solution

The fourth proportional to 78,357.57, 117,433.68 and 36,232.30 is: 54,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,357.57 : 117,433.68 = 36,232.30 : x
  2. Step 2: Convert to fraction form
    78,357.57/117,433.68 = 36,232.30/x
  3. Step 3: Cross multiply
    78,357.57x = 117,433.68 × 36,232.30
  4. Step 4: Simplify right side
    78,357.57x = 4,254,892,323.86
  5. Step 5: Solve for x
    x = 4,254,892,323.86/78,357.57
  6. Step 6: Final answer
    x = 54,300.97

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1.5x scale

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.