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Finding the Fourth Proportional to 84,312, 126,402.24 and 42,208.80

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Solution

The fourth proportional to 84,312, 126,402.24 and 42,208.80 is: 63,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,312 : 126,402.24 = 42,208.80 : x
  2. Step 2: Convert to fraction form
    84,312/126,402.24 = 42,208.80/x
  3. Step 3: Cross multiply
    84,312x = 126,402.24 × 42,208.80
  4. Step 4: Simplify right side
    84,312x = 5,335,286,867.71
  5. Step 5: Solve for x
    x = 5,335,286,867.71/84,312
  6. Step 6: Final answer
    x = 63,280.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.