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Finding the Fourth Proportional to 127,761.76, 191,642.64 and 48,900.16

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Solution

The fourth proportional to 127,761.76, 191,642.64 and 48,900.16 is: 73,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,761.76 : 191,642.64 = 48,900.16 : x
  2. Step 2: Convert to fraction form
    127,761.76/191,642.64 = 48,900.16/x
  3. Step 3: Cross multiply
    127,761.76x = 191,642.64 × 48,900.16
  4. Step 4: Simplify right side
    127,761.76x = 9,371,355,758.82
  5. Step 5: Solve for x
    x = 9,371,355,758.82/127,761.76
  6. Step 6: Final answer
    x = 73,350.24

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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.