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Finding the Fourth Proportional to 254,132.79, 381,200.49 and 85,654.57

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Solution

The fourth proportional to 254,132.79, 381,200.49 and 85,654.57 is: 128,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,132.79 : 381,200.49 = 85,654.57 : x
  2. Step 2: Convert to fraction form
    254,132.79/381,200.49 = 85,654.57/x
  3. Step 3: Cross multiply
    254,132.79x = 381,200.49 × 85,654.57
  4. Step 4: Simplify right side
    254,132.79x = 32,651,564,054.74
  5. Step 5: Solve for x
    x = 32,651,564,054.74/254,132.79
  6. Step 6: Final answer
    x = 128,482.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.