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Finding the Fourth Proportional to 76,857.60, 115,302.60 and 23,545.20

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Solution

The fourth proportional to 76,857.60, 115,302.60 and 23,545.20 is: 35,322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,857.60 : 115,302.60 = 23,545.20 : x
  2. Step 2: Convert to fraction form
    76,857.60/115,302.60 = 23,545.20/x
  3. Step 3: Cross multiply
    76,857.60x = 115,302.60 × 23,545.20
  4. Step 4: Simplify right side
    76,857.60x = 2,714,822,777.52
  5. Step 5: Solve for x
    x = 2,714,822,777.52/76,857.60
  6. Step 6: Final answer
    x = 35,322.76

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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.