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Finding the Fourth Proportional to 101,703.68, 152,140.80 and 85,114.88

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Solution

The fourth proportional to 101,703.68, 152,140.80 and 85,114.88 is: 127,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,703.68 : 152,140.80 = 85,114.88 : x
  2. Step 2: Convert to fraction form
    101,703.68/152,140.80 = 85,114.88/x
  3. Step 3: Cross multiply
    101,703.68x = 152,140.80 × 85,114.88
  4. Step 4: Simplify right side
    101,703.68x = 12,949,445,935.10
  5. Step 5: Solve for x
    x = 12,949,445,935.10/101,703.68
  6. Step 6: Final answer
    x = 127,325.24

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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.