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Finding the Fourth Proportional to 218,839.40, 328,259.10 and 71,095.40

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Solution

The fourth proportional to 218,839.40, 328,259.10 and 71,095.40 is: 106,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,839.40 : 328,259.10 = 71,095.40 : x
  2. Step 2: Convert to fraction form
    218,839.40/328,259.10 = 71,095.40/x
  3. Step 3: Cross multiply
    218,839.40x = 328,259.10 × 71,095.40
  4. Step 4: Simplify right side
    218,839.40x = 23,337,712,018.14
  5. Step 5: Solve for x
    x = 23,337,712,018.14/218,839.40
  6. Step 6: Final answer
    x = 106,643.10

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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.