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Finding the Fourth Proportional to 99,856.30, 149,830.76 and 43,689.02

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Solution

The fourth proportional to 99,856.30, 149,830.76 and 43,689.02 is: 65,553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,856.30 : 149,830.76 = 43,689.02 : x
  2. Step 2: Convert to fraction form
    99,856.30/149,830.76 = 43,689.02/x
  3. Step 3: Cross multiply
    99,856.30x = 149,830.76 × 43,689.02
  4. Step 4: Simplify right side
    99,856.30x = 6,545,958,430.32
  5. Step 5: Solve for x
    x = 6,545,958,430.32/99,856.30
  6. Step 6: Final answer
    x = 65,553.79

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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.