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Finding the Fourth Proportional to 127,378.64, 191,069.82 and 48,497.20

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Solution

The fourth proportional to 127,378.64, 191,069.82 and 48,497.20 is: 72,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,378.64 : 191,069.82 = 48,497.20 : x
  2. Step 2: Convert to fraction form
    127,378.64/191,069.82 = 48,497.20/x
  3. Step 3: Cross multiply
    127,378.64x = 191,069.82 × 48,497.20
  4. Step 4: Simplify right side
    127,378.64x = 9,266,350,796.83
  5. Step 5: Solve for x
    x = 9,266,350,796.83/127,378.64
  6. Step 6: Final answer
    x = 72,746.50

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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.