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Finding the Fourth Proportional to 218,693.65, 328,140.43 and 98,782.66

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Solution

The fourth proportional to 218,693.65, 328,140.43 and 98,782.66 is: 148,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,693.65 : 328,140.43 = 98,782.66 : x
  2. Step 2: Convert to fraction form
    218,693.65/328,140.43 = 98,782.66/x
  3. Step 3: Cross multiply
    218,693.65x = 328,140.43 × 98,782.66
  4. Step 4: Simplify right side
    218,693.65x = 32,414,584,528.94
  5. Step 5: Solve for x
    x = 32,414,584,528.94/218,693.65
  6. Step 6: Final answer
    x = 148,219.14

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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.