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Finding the Fourth Proportional to 138,873.72, 191,646.30 and 78,445.04

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Solution

The fourth proportional to 138,873.72, 191,646.30 and 78,445.04 is: 108,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,873.72 : 191,646.30 = 78,445.04 : x
  2. Step 2: Convert to fraction form
    138,873.72/191,646.30 = 78,445.04/x
  3. Step 3: Cross multiply
    138,873.72x = 191,646.30 × 78,445.04
  4. Step 4: Simplify right side
    138,873.72x = 15,033,701,669.35
  5. Step 5: Solve for x
    x = 15,033,701,669.35/138,873.72
  6. Step 6: Final answer
    x = 108,254.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.