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Finding the Fourth Proportional to 138,465.59, 191,082.51 and 78,038.44

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Solution

The fourth proportional to 138,465.59, 191,082.51 and 78,038.44 is: 107,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,465.59 : 191,082.51 = 78,038.44 : x
  2. Step 2: Convert to fraction form
    138,465.59/191,082.51 = 78,038.44/x
  3. Step 3: Cross multiply
    138,465.59x = 191,082.51 × 78,038.44
  4. Step 4: Simplify right side
    138,465.59x = 14,911,780,513.98
  5. Step 5: Solve for x
    x = 14,911,780,513.98/138,465.59
  6. Step 6: Final answer
    x = 107,693.05

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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.