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Finding the Fourth Proportional to 101,031.24, 139,424.08 and 55,711

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Solution

The fourth proportional to 101,031.24, 139,424.08 and 55,711 is: 76,881.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,031.24 : 139,424.08 = 55,711 : x
  2. Step 2: Convert to fraction form
    101,031.24/139,424.08 = 55,711/x
  3. Step 3: Cross multiply
    101,031.24x = 139,424.08 × 55,711
  4. Step 4: Simplify right side
    101,031.24x = 7,767,454,920.88
  5. Step 5: Solve for x
    x = 7,767,454,920.88/101,031.24
  6. Step 6: Final answer
    x = 76,881.71

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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.