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Finding the Fourth Proportional to 78,444, 117,666 and 23,040

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Solution

The fourth proportional to 78,444, 117,666 and 23,040 is: 34,560

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,444 : 117,666 = 23,040 : x
  2. Step 2: Convert to fraction form
    78,444/117,666 = 23,040/x
  3. Step 3: Cross multiply
    78,444x = 117,666 × 23,040
  4. Step 4: Simplify right side
    78,444x = 2,711,024,640
  5. Step 5: Solve for x
    x = 2,711,024,640/78,444
  6. Step 6: Final answer
    x = 34,560

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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.