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Finding the Fourth Proportional to 144,870.40, 217,232.70 and 85,724.20

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Solution

The fourth proportional to 144,870.40, 217,232.70 and 85,724.20 is: 128,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,870.40 : 217,232.70 = 85,724.20 : x
  2. Step 2: Convert to fraction form
    144,870.40/217,232.70 = 85,724.20/x
  3. Step 3: Cross multiply
    144,870.40x = 217,232.70 × 85,724.20
  4. Step 4: Simplify right side
    144,870.40x = 18,622,099,421.34
  5. Step 5: Solve for x
    x = 18,622,099,421.34/144,870.40
  6. Step 6: Final answer
    x = 128,543.16

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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.