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Finding the Fourth Proportional to 101,312.32, 151,999.20 and 71,787.36

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Solution

The fourth proportional to 101,312.32, 151,999.20 and 71,787.36 is: 107,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,312.32 : 151,999.20 = 71,787.36 : x
  2. Step 2: Convert to fraction form
    101,312.32/151,999.20 = 71,787.36/x
  3. Step 3: Cross multiply
    101,312.32x = 151,999.20 × 71,787.36
  4. Step 4: Simplify right side
    101,312.32x = 10,911,621,290.11
  5. Step 5: Solve for x
    x = 10,911,621,290.11/101,312.32
  6. Step 6: Final answer
    x = 107,702.81

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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.