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Finding the Fourth Proportional to 75,162.32, 112,734.52 and 19,762.64

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Solution

The fourth proportional to 75,162.32, 112,734.52 and 19,762.64 is: 29,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,162.32 : 112,734.52 = 19,762.64 : x
  2. Step 2: Convert to fraction form
    75,162.32/112,734.52 = 19,762.64/x
  3. Step 3: Cross multiply
    75,162.32x = 112,734.52 × 19,762.64
  4. Step 4: Simplify right side
    75,162.32x = 2,227,931,734.33
  5. Step 5: Solve for x
    x = 2,227,931,734.33/75,162.32
  6. Step 6: Final answer
    x = 29,641.60

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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.