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Finding the Fourth Proportional to 78,854.41, 118,281 and 19,689.68

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Solution

The fourth proportional to 78,854.41, 118,281 and 19,689.68 is: 29,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,854.41 : 118,281 = 19,689.68 : x
  2. Step 2: Convert to fraction form
    78,854.41/118,281 = 19,689.68/x
  3. Step 3: Cross multiply
    78,854.41x = 118,281 × 19,689.68
  4. Step 4: Simplify right side
    78,854.41x = 2,328,914,448.68
  5. Step 5: Solve for x
    x = 2,328,914,448.68/78,854.41
  6. Step 6: Final answer
    x = 29,534.36

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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.