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Finding the Fourth Proportional to 224,740.80, 310,072.32 and 129,213.12

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Solution

The fourth proportional to 224,740.80, 310,072.32 and 129,213.12 is: 178,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,740.80 : 310,072.32 = 129,213.12 : x
  2. Step 2: Convert to fraction form
    224,740.80/310,072.32 = 129,213.12/x
  3. Step 3: Cross multiply
    224,740.80x = 310,072.32 × 129,213.12
  4. Step 4: Simplify right side
    224,740.80x = 40,065,411,892.84
  5. Step 5: Solve for x
    x = 40,065,411,892.84/224,740.80
  6. Step 6: Final answer
    x = 178,273.87

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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.