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Finding the Fourth Proportional to 144,891.90, 217,337.85 and 139,643.10

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Solution

The fourth proportional to 144,891.90, 217,337.85 and 139,643.10 is: 209,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,891.90 : 217,337.85 = 139,643.10 : x
  2. Step 2: Convert to fraction form
    144,891.90/217,337.85 = 139,643.10/x
  3. Step 3: Cross multiply
    144,891.90x = 217,337.85 × 139,643.10
  4. Step 4: Simplify right side
    144,891.90x = 30,349,731,121.34
  5. Step 5: Solve for x
    x = 30,349,731,121.34/144,891.90
  6. Step 6: Final answer
    x = 209,464.65

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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.