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Finding the Fourth Proportional to 132,465.47, 198,678.76 and 43,721.87

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Solution

The fourth proportional to 132,465.47, 198,678.76 and 43,721.87 is: 65,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,465.47 : 198,678.76 = 43,721.87 : x
  2. Step 2: Convert to fraction form
    132,465.47/198,678.76 = 43,721.87/x
  3. Step 3: Cross multiply
    132,465.47x = 198,678.76 × 43,721.87
  4. Step 4: Simplify right side
    132,465.47x = 8,686,606,916.48
  5. Step 5: Solve for x
    x = 8,686,606,916.48/132,465.47
  6. Step 6: Final answer
    x = 65,576.39

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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.