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Finding the Fourth Proportional to 78,850.53, 118,275.80 and 19,686.11

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Solution

The fourth proportional to 78,850.53, 118,275.80 and 19,686.11 is: 29,529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,850.53 : 118,275.80 = 19,686.11 : x
  2. Step 2: Convert to fraction form
    78,850.53/118,275.80 = 19,686.11/x
  3. Step 3: Cross multiply
    78,850.53x = 118,275.80 × 19,686.11
  4. Step 4: Simplify right side
    78,850.53x = 2,328,389,719.33
  5. Step 5: Solve for x
    x = 2,328,389,719.33/78,850.53
  6. Step 6: Final answer
    x = 29,529.16

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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.