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Finding the Fourth Proportional to 99,887.48, 149,830.19 and 57,740.74

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Solution

The fourth proportional to 99,887.48, 149,830.19 and 57,740.74 is: 86,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,887.48 : 149,830.19 = 57,740.74 : x
  2. Step 2: Convert to fraction form
    99,887.48/149,830.19 = 57,740.74/x
  3. Step 3: Cross multiply
    99,887.48x = 149,830.19 × 57,740.74
  4. Step 4: Simplify right side
    99,887.48x = 8,651,305,943.52
  5. Step 5: Solve for x
    x = 8,651,305,943.52/99,887.48
  6. Step 6: Final answer
    x = 86,610.52

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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.