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Finding the Fourth Proportional to 149,316, 206,065.80 and 99,024.72

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Solution

The fourth proportional to 149,316, 206,065.80 and 99,024.72 is: 136,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,316 : 206,065.80 = 99,024.72 : x
  2. Step 2: Convert to fraction form
    149,316/206,065.80 = 99,024.72/x
  3. Step 3: Cross multiply
    149,316x = 206,065.80 × 99,024.72
  4. Step 4: Simplify right side
    149,316x = 20,405,608,146.58
  5. Step 5: Solve for x
    x = 20,405,608,146.58/149,316
  6. Step 6: Final answer
    x = 136,660.56

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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.