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Finding the Fourth Proportional to 76,497, 105,575.76 and 42,963

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Solution

The fourth proportional to 76,497, 105,575.76 and 42,963 is: 59,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,497 : 105,575.76 = 42,963 : x
  2. Step 2: Convert to fraction form
    76,497/105,575.76 = 42,963/x
  3. Step 3: Cross multiply
    76,497x = 105,575.76 × 42,963
  4. Step 4: Simplify right side
    76,497x = 4,535,851,376.88
  5. Step 5: Solve for x
    x = 4,535,851,376.88/76,497
  6. Step 6: Final answer
    x = 59,294.50

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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.