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Finding the Fourth Proportional to 144,909.90, 199,937.78 and 83,641.08

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Solution

The fourth proportional to 144,909.90, 199,937.78 and 83,641.08 is: 115,402.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,909.90 : 199,937.78 = 83,641.08 : x
  2. Step 2: Convert to fraction form
    144,909.90/199,937.78 = 83,641.08/x
  3. Step 3: Cross multiply
    144,909.90x = 199,937.78 × 83,641.08
  4. Step 4: Simplify right side
    144,909.90x = 16,723,011,852.00
  5. Step 5: Solve for x
    x = 16,723,011,852.00/144,909.90
  6. Step 6: Final answer
    x = 115,402.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.