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Finding the Fourth Proportional to 78,521.70, 117,746.10 and 34,125.60

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Solution

The fourth proportional to 78,521.70, 117,746.10 and 34,125.60 is: 51,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,521.70 : 117,746.10 = 34,125.60 : x
  2. Step 2: Convert to fraction form
    78,521.70/117,746.10 = 34,125.60/x
  3. Step 3: Cross multiply
    78,521.70x = 117,746.10 × 34,125.60
  4. Step 4: Simplify right side
    78,521.70x = 4,018,156,310.16
  5. Step 5: Solve for x
    x = 4,018,156,310.16/78,521.70
  6. Step 6: Final answer
    x = 51,172.56

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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.