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Finding the Fourth Proportional to 218,969.61, 328,308.57 and 78,710.01

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Solution

The fourth proportional to 218,969.61, 328,308.57 and 78,710.01 is: 118,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,969.61 : 328,308.57 = 78,710.01 : x
  2. Step 2: Convert to fraction form
    218,969.61/328,308.57 = 78,710.01/x
  3. Step 3: Cross multiply
    218,969.61x = 328,308.57 × 78,710.01
  4. Step 4: Simplify right side
    218,969.61x = 25,841,170,827.79
  5. Step 5: Solve for x
    x = 25,841,170,827.79/218,969.61
  6. Step 6: Final answer
    x = 118,012.59

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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.