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Finding the Fourth Proportional to 145,223.60, 217,543.80 and 82,821.20

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Solution

The fourth proportional to 145,223.60, 217,543.80 and 82,821.20 is: 124,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,223.60 : 217,543.80 = 82,821.20 : x
  2. Step 2: Convert to fraction form
    145,223.60/217,543.80 = 82,821.20/x
  3. Step 3: Cross multiply
    145,223.60x = 217,543.80 × 82,821.20
  4. Step 4: Simplify right side
    145,223.60x = 18,017,238,568.56
  5. Step 5: Solve for x
    x = 18,017,238,568.56/145,223.60
  6. Step 6: Final answer
    x = 124,065.50

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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.