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Finding the Fourth Proportional to 99,131.52, 148,471.57 and 77,650.13

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Solution

The fourth proportional to 99,131.52, 148,471.57 and 77,650.13 is: 116,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,131.52 : 148,471.57 = 77,650.13 : x
  2. Step 2: Convert to fraction form
    99,131.52/148,471.57 = 77,650.13/x
  3. Step 3: Cross multiply
    99,131.52x = 148,471.57 × 77,650.13
  4. Step 4: Simplify right side
    99,131.52x = 11,528,837,180.05
  5. Step 5: Solve for x
    x = 11,528,837,180.05/99,131.52
  6. Step 6: Final answer
    x = 116,298.40

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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.