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Finding the Fourth Proportional to 176,149.84, 243,086.70 and 100,699.96

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Solution

The fourth proportional to 176,149.84, 243,086.70 and 100,699.96 is: 138,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,149.84 : 243,086.70 = 100,699.96 : x
  2. Step 2: Convert to fraction form
    176,149.84/243,086.70 = 100,699.96/x
  3. Step 3: Cross multiply
    176,149.84x = 243,086.70 × 100,699.96
  4. Step 4: Simplify right side
    176,149.84x = 24,478,820,966.53
  5. Step 5: Solve for x
    x = 24,478,820,966.53/176,149.84
  6. Step 6: Final answer
    x = 138,965.90

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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.