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Finding the Fourth Proportional to 102,098.88, 153,252 and 72,550.08

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Solution

The fourth proportional to 102,098.88, 153,252 and 72,550.08 is: 108,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,098.88 : 153,252 = 72,550.08 : x
  2. Step 2: Convert to fraction form
    102,098.88/153,252 = 72,550.08/x
  3. Step 3: Cross multiply
    102,098.88x = 153,252 × 72,550.08
  4. Step 4: Simplify right side
    102,098.88x = 11,118,444,860.16
  5. Step 5: Solve for x
    x = 11,118,444,860.16/102,098.88
  6. Step 6: Final answer
    x = 108,898.79

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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.