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Finding the Fourth Proportional to 69,534.78, 103,407.63 and 67,320.46

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Solution

The fourth proportional to 69,534.78, 103,407.63 and 67,320.46 is: 100,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,534.78 : 103,407.63 = 67,320.46 : x
  2. Step 2: Convert to fraction form
    69,534.78/103,407.63 = 67,320.46/x
  3. Step 3: Cross multiply
    69,534.78x = 103,407.63 × 67,320.46
  4. Step 4: Simplify right side
    69,534.78x = 6,961,449,219.11
  5. Step 5: Solve for x
    x = 6,961,449,219.11/69,534.78
  6. Step 6: Final answer
    x = 100,114.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.