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Finding the Fourth Proportional to 218,969.64, 328,308.54 and 78,710.04

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Solution

The fourth proportional to 218,969.64, 328,308.54 and 78,710.04 is: 118,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,969.64 : 328,308.54 = 78,710.04 : x
  2. Step 2: Convert to fraction form
    218,969.64/328,308.54 = 78,710.04/x
  3. Step 3: Cross multiply
    218,969.64x = 328,308.54 × 78,710.04
  4. Step 4: Simplify right side
    218,969.64x = 25,841,178,315.74
  5. Step 5: Solve for x
    x = 25,841,178,315.74/218,969.64
  6. Step 6: Final answer
    x = 118,012.61

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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.