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Finding the Fourth Proportional to 52,656.20, 78,830.70 and 51,120.20

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Solution

The fourth proportional to 52,656.20, 78,830.70 and 51,120.20 is: 76,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,656.20 : 78,830.70 = 51,120.20 : x
  2. Step 2: Convert to fraction form
    52,656.20/78,830.70 = 51,120.20/x
  3. Step 3: Cross multiply
    52,656.20x = 78,830.70 × 51,120.20
  4. Step 4: Simplify right side
    52,656.20x = 4,029,841,150.14
  5. Step 5: Solve for x
    x = 4,029,841,150.14/52,656.20
  6. Step 6: Final answer
    x = 76,531.18

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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.