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Finding the Fourth Proportional to 138,775.86, 191,508.57 and 77,522.85

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Solution

The fourth proportional to 138,775.86, 191,508.57 and 77,522.85 is: 106,980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,775.86 : 191,508.57 = 77,522.85 : x
  2. Step 2: Convert to fraction form
    138,775.86/191,508.57 = 77,522.85/x
  3. Step 3: Cross multiply
    138,775.86x = 191,508.57 × 77,522.85
  4. Step 4: Simplify right side
    138,775.86x = 14,846,290,145.82
  5. Step 5: Solve for x
    x = 14,846,290,145.82/138,775.86
  6. Step 6: Final answer
    x = 106,980.35

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1.5x scale

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.