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Finding the Fourth Proportional to 78,215.44, 117,323.16 and 22,815.76

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Solution

The fourth proportional to 78,215.44, 117,323.16 and 22,815.76 is: 34,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,215.44 : 117,323.16 = 22,815.76 : x
  2. Step 2: Convert to fraction form
    78,215.44/117,323.16 = 22,815.76/x
  3. Step 3: Cross multiply
    78,215.44x = 117,323.16 × 22,815.76
  4. Step 4: Simplify right side
    78,215.44x = 2,676,817,061.00
  5. Step 5: Solve for x
    x = 2,676,817,061.00/78,215.44
  6. Step 6: Final answer
    x = 34,223.64

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1.5x scale

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.