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Finding the Fourth Proportional to 78,001.70, 117,002.55 and 51,736.10

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Solution

The fourth proportional to 78,001.70, 117,002.55 and 51,736.10 is: 77,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,001.70 : 117,002.55 = 51,736.10 : x
  2. Step 2: Convert to fraction form
    78,001.70/117,002.55 = 51,736.10/x
  3. Step 3: Cross multiply
    78,001.70x = 117,002.55 × 51,736.10
  4. Step 4: Simplify right side
    78,001.70x = 6,053,255,627.06
  5. Step 5: Solve for x
    x = 6,053,255,627.06/78,001.70
  6. Step 6: Final answer
    x = 77,604.15

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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.