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Finding the Fourth Proportional to 127,327.76, 175,712.27 and 69,970.78

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Solution

The fourth proportional to 127,327.76, 175,712.27 and 69,970.78 is: 96,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,327.76 : 175,712.27 = 69,970.78 : x
  2. Step 2: Convert to fraction form
    127,327.76/175,712.27 = 69,970.78/x
  3. Step 3: Cross multiply
    127,327.76x = 175,712.27 × 69,970.78
  4. Step 4: Simplify right side
    127,327.76x = 12,294,724,587.47
  5. Step 5: Solve for x
    x = 12,294,724,587.47/127,327.76
  6. Step 6: Final answer
    x = 96,559.66

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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.