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Finding the Fourth Proportional to 76,503.55, 105,572.78 and 42,511.16

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Solution

The fourth proportional to 76,503.55, 105,572.78 and 42,511.16 is: 58,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,503.55 : 105,572.78 = 42,511.16 : x
  2. Step 2: Convert to fraction form
    76,503.55/105,572.78 = 42,511.16/x
  3. Step 3: Cross multiply
    76,503.55x = 105,572.78 × 42,511.16
  4. Step 4: Simplify right side
    76,503.55x = 4,488,020,920.64
  5. Step 5: Solve for x
    x = 4,488,020,920.64/76,503.55
  6. Step 6: Final answer
    x = 58,664.22

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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.