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Finding the Fourth Proportional to 84,978.40, 127,352.78 and 32,359.18

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Solution

The fourth proportional to 84,978.40, 127,352.78 and 32,359.18 is: 48,495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,978.40 : 127,352.78 = 32,359.18 : x
  2. Step 2: Convert to fraction form
    84,978.40/127,352.78 = 32,359.18/x
  3. Step 3: Cross multiply
    84,978.40x = 127,352.78 × 32,359.18
  4. Step 4: Simplify right side
    84,978.40x = 4,121,031,531.52
  5. Step 5: Solve for x
    x = 4,121,031,531.52/84,978.40
  6. Step 6: Final answer
    x = 48,495.05

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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.