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Finding the Fourth Proportional to 100,031.14, 138,041.03 and 54,708.98

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Solution

The fourth proportional to 100,031.14, 138,041.03 and 54,708.98 is: 75,497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,031.14 : 138,041.03 = 54,708.98 : x
  2. Step 2: Convert to fraction form
    100,031.14/138,041.03 = 54,708.98/x
  3. Step 3: Cross multiply
    100,031.14x = 138,041.03 × 54,708.98
  4. Step 4: Simplify right side
    100,031.14x = 7,552,083,675.90
  5. Step 5: Solve for x
    x = 7,552,083,675.90/100,031.14
  6. Step 6: Final answer
    x = 75,497.33

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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.