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Finding the Fourth Proportional to 76,121.76, 105,047.28 and 42,588

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Solution

The fourth proportional to 76,121.76, 105,047.28 and 42,588 is: 58,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,121.76 : 105,047.28 = 42,588 : x
  2. Step 2: Convert to fraction form
    76,121.76/105,047.28 = 42,588/x
  3. Step 3: Cross multiply
    76,121.76x = 105,047.28 × 42,588
  4. Step 4: Simplify right side
    76,121.76x = 4,473,753,560.64
  5. Step 5: Solve for x
    x = 4,473,753,560.64/76,121.76
  6. Step 6: Final answer
    x = 58,771.02

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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.