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Finding the Fourth Proportional to 138,767.29, 191,503.50 and 85,041.93

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Solution

The fourth proportional to 138,767.29, 191,503.50 and 85,041.93 is: 117,360.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,767.29 : 191,503.50 = 85,041.93 : x
  2. Step 2: Convert to fraction form
    138,767.29/191,503.50 = 85,041.93/x
  3. Step 3: Cross multiply
    138,767.29x = 191,503.50 × 85,041.93
  4. Step 4: Simplify right side
    138,767.29x = 16,285,826,364.16
  5. Step 5: Solve for x
    x = 16,285,826,364.16/138,767.29
  6. Step 6: Final answer
    x = 117,360.70

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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.