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Finding the Fourth Proportional to 78,284.80, 107,907.20 and 61,260.16

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Solution

The fourth proportional to 78,284.80, 107,907.20 and 61,260.16 is: 84,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,284.80 : 107,907.20 = 61,260.16 : x
  2. Step 2: Convert to fraction form
    78,284.80/107,907.20 = 61,260.16/x
  3. Step 3: Cross multiply
    78,284.80x = 107,907.20 × 61,260.16
  4. Step 4: Simplify right side
    78,284.80x = 6,610,412,337.15
  5. Step 5: Solve for x
    x = 6,610,412,337.15/78,284.80
  6. Step 6: Final answer
    x = 84,440.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.