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Finding the Fourth Proportional to 92,322, 138,482.73 and 71,292.78

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Solution

The fourth proportional to 92,322, 138,482.73 and 71,292.78 is: 106,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,322 : 138,482.73 = 71,292.78 : x
  2. Step 2: Convert to fraction form
    92,322/138,482.73 = 71,292.78/x
  3. Step 3: Cross multiply
    92,322x = 138,482.73 × 71,292.78
  4. Step 4: Simplify right side
    92,322x = 9,872,818,803.69
  5. Step 5: Solve for x
    x = 9,872,818,803.69/92,322
  6. Step 6: Final answer
    x = 106,938.96

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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.