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Finding the Fourth Proportional to 100,031.76, 138,041.87 and 54,709.59

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Solution

The fourth proportional to 100,031.76, 138,041.87 and 54,709.59 is: 75,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,031.76 : 138,041.87 = 54,709.59 : x
  2. Step 2: Convert to fraction form
    100,031.76/138,041.87 = 54,709.59/x
  3. Step 3: Cross multiply
    100,031.76x = 138,041.87 × 54,709.59
  4. Step 4: Simplify right side
    100,031.76x = 7,552,214,110.53
  5. Step 5: Solve for x
    x = 7,552,214,110.53/100,031.76
  6. Step 6: Final answer
    x = 75,498.17

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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.