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Finding the Fourth Proportional to 218,952.71, 328,309.83 and 98,868.93

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Solution

The fourth proportional to 218,952.71, 328,309.83 and 98,868.93 is: 148,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,952.71 : 328,309.83 = 98,868.93 : x
  2. Step 2: Convert to fraction form
    218,952.71/328,309.83 = 98,868.93/x
  3. Step 3: Cross multiply
    218,952.71x = 328,309.83 × 98,868.93
  4. Step 4: Simplify right side
    218,952.71x = 32,459,641,600.58
  5. Step 5: Solve for x
    x = 32,459,641,600.58/218,952.71
  6. Step 6: Final answer
    x = 148,249.56

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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.