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Finding the Fourth Proportional to 76,457.79, 105,508.17 and 42,468.44

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Solution

The fourth proportional to 76,457.79, 105,508.17 and 42,468.44 is: 58,604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,457.79 : 105,508.17 = 42,468.44 : x
  2. Step 2: Convert to fraction form
    76,457.79/105,508.17 = 42,468.44/x
  3. Step 3: Cross multiply
    76,457.79x = 105,508.17 × 42,468.44
  4. Step 4: Simplify right side
    76,457.79x = 4,480,766,859.61
  5. Step 5: Solve for x
    x = 4,480,766,859.61/76,457.79
  6. Step 6: Final answer
    x = 58,604.45

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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.