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Finding the Fourth Proportional to 224,597.80, 309,971.46 and 129,108.52

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Solution

The fourth proportional to 224,597.80, 309,971.46 and 129,108.52 is: 178,184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,597.80 : 309,971.46 = 129,108.52 : x
  2. Step 2: Convert to fraction form
    224,597.80/309,971.46 = 129,108.52/x
  3. Step 3: Cross multiply
    224,597.80x = 309,971.46 × 129,108.52
  4. Step 4: Simplify right side
    224,597.80x = 40,019,956,442.84
  5. Step 5: Solve for x
    x = 40,019,956,442.84/224,597.80
  6. Step 6: Final answer
    x = 178,184.99

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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.