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Finding the Fourth Proportional to 100,222.68, 138,211.86 and 59,929.88

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Solution

The fourth proportional to 100,222.68, 138,211.86 and 59,929.88 is: 82,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,222.68 : 138,211.86 = 59,929.88 : x
  2. Step 2: Convert to fraction form
    100,222.68/138,211.86 = 59,929.88/x
  3. Step 3: Cross multiply
    100,222.68x = 138,211.86 × 59,929.88
  4. Step 4: Simplify right side
    100,222.68x = 8,283,020,184.38
  5. Step 5: Solve for x
    x = 8,283,020,184.38/100,222.68
  6. Step 6: Final answer
    x = 82,646.17

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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.