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Finding the Fourth Proportional to 78,345.76, 108,197.84 and 67,102.24

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Solution

The fourth proportional to 78,345.76, 108,197.84 and 67,102.24 is: 92,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,345.76 : 108,197.84 = 67,102.24 : x
  2. Step 2: Convert to fraction form
    78,345.76/108,197.84 = 67,102.24/x
  3. Step 3: Cross multiply
    78,345.76x = 108,197.84 × 67,102.24
  4. Step 4: Simplify right side
    78,345.76x = 7,260,317,427.16
  5. Step 5: Solve for x
    x = 7,260,317,427.16/78,345.76
  6. Step 6: Final answer
    x = 92,670.20

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1.5x scale

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.