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Finding the Fourth Proportional to 100,031.76, 138,038.76 and 55,311.12

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Solution

The fourth proportional to 100,031.76, 138,038.76 and 55,311.12 is: 76,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,031.76 : 138,038.76 = 55,311.12 : x
  2. Step 2: Convert to fraction form
    100,031.76/138,038.76 = 55,311.12/x
  3. Step 3: Cross multiply
    100,031.76x = 138,038.76 × 55,311.12
  4. Step 4: Simplify right side
    100,031.76x = 7,635,078,419.01
  5. Step 5: Solve for x
    x = 7,635,078,419.01/100,031.76
  6. Step 6: Final answer
    x = 76,326.54

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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.