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Finding the Fourth Proportional to 78,390, 117,604.53 and 22,986

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Solution

The fourth proportional to 78,390, 117,604.53 and 22,986 is: 34,484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,390 : 117,604.53 = 22,986 : x
  2. Step 2: Convert to fraction form
    78,390/117,604.53 = 22,986/x
  3. Step 3: Cross multiply
    78,390x = 117,604.53 × 22,986
  4. Step 4: Simplify right side
    78,390x = 2,703,257,726.58
  5. Step 5: Solve for x
    x = 2,703,257,726.58/78,390
  6. Step 6: Final answer
    x = 34,484.73

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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.