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Finding the Fourth Proportional to 76,225, 105,191.04 and 42,691

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Solution

The fourth proportional to 76,225, 105,191.04 and 42,691 is: 58,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,225 : 105,191.04 = 42,691 : x
  2. Step 2: Convert to fraction form
    76,225/105,191.04 = 42,691/x
  3. Step 3: Cross multiply
    76,225x = 105,191.04 × 42,691
  4. Step 4: Simplify right side
    76,225x = 4,490,710,688.64
  5. Step 5: Solve for x
    x = 4,490,710,688.64/76,225
  6. Step 6: Final answer
    x = 58,913.88

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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.