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Finding the Fourth Proportional to 92,419.92, 127,539.80 and 49,978.76

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Solution

The fourth proportional to 92,419.92, 127,539.80 and 49,978.76 is: 68,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,419.92 : 127,539.80 = 49,978.76 : x
  2. Step 2: Convert to fraction form
    92,419.92/127,539.80 = 49,978.76/x
  3. Step 3: Cross multiply
    92,419.92x = 127,539.80 × 49,978.76
  4. Step 4: Simplify right side
    92,419.92x = 6,374,281,054.65
  5. Step 5: Solve for x
    x = 6,374,281,054.65/92,419.92
  6. Step 6: Final answer
    x = 68,970.86

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1.5x scale

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.