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Finding the Fourth Proportional to 127,353.84, 175,752.92 and 70,764

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Solution

The fourth proportional to 127,353.84, 175,752.92 and 70,764 is: 97,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,353.84 : 175,752.92 = 70,764 : x
  2. Step 2: Convert to fraction form
    127,353.84/175,752.92 = 70,764/x
  3. Step 3: Cross multiply
    127,353.84x = 175,752.92 × 70,764
  4. Step 4: Simplify right side
    127,353.84x = 12,436,979,630.88
  5. Step 5: Solve for x
    x = 12,436,979,630.88/127,353.84
  6. Step 6: Final answer
    x = 97,656.89

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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.