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Finding the Fourth Proportional to 78,351.40, 117,527.10 and 69,822.10

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Solution

The fourth proportional to 78,351.40, 117,527.10 and 69,822.10 is: 104,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,351.40 : 117,527.10 = 69,822.10 : x
  2. Step 2: Convert to fraction form
    78,351.40/117,527.10 = 69,822.10/x
  3. Step 3: Cross multiply
    78,351.40x = 117,527.10 × 69,822.10
  4. Step 4: Simplify right side
    78,351.40x = 8,205,988,928.91
  5. Step 5: Solve for x
    x = 8,205,988,928.91/78,351.40
  6. Step 6: Final answer
    x = 104,733.15

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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.