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Finding the Fourth Proportional to 78,772.64, 118,092.54 and 34,366.82

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Solution

The fourth proportional to 78,772.64, 118,092.54 and 34,366.82 is: 51,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,772.64 : 118,092.54 = 34,366.82 : x
  2. Step 2: Convert to fraction form
    78,772.64/118,092.54 = 34,366.82/x
  3. Step 3: Cross multiply
    78,772.64x = 118,092.54 × 34,366.82
  4. Step 4: Simplify right side
    78,772.64x = 4,058,465,065.52
  5. Step 5: Solve for x
    x = 4,058,465,065.52/78,772.64
  6. Step 6: Final answer
    x = 51,521.25

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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.