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Finding the Fourth Proportional to 127,871.20, 191,806.80 and 57,887.20

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Solution

The fourth proportional to 127,871.20, 191,806.80 and 57,887.20 is: 86,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,871.20 : 191,806.80 = 57,887.20 : x
  2. Step 2: Convert to fraction form
    127,871.20/191,806.80 = 57,887.20/x
  3. Step 3: Cross multiply
    127,871.20x = 191,806.80 × 57,887.20
  4. Step 4: Simplify right side
    127,871.20x = 11,103,158,592.96
  5. Step 5: Solve for x
    x = 11,103,158,592.96/127,871.20
  6. Step 6: Final answer
    x = 86,830.80

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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.