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Finding the Fourth Proportional to 106,386.74, 159,531.06 and 31,480.10

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Solution

The fourth proportional to 106,386.74, 159,531.06 and 31,480.10 is: 47,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,386.74 : 159,531.06 = 31,480.10 : x
  2. Step 2: Convert to fraction form
    106,386.74/159,531.06 = 31,480.10/x
  3. Step 3: Cross multiply
    106,386.74x = 159,531.06 × 31,480.10
  4. Step 4: Simplify right side
    106,386.74x = 5,022,053,721.91
  5. Step 5: Solve for x
    x = 5,022,053,721.91/106,386.74
  6. Step 6: Final answer
    x = 47,205.64

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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.