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Finding the Fourth Proportional to 106,689.74, 160,042.76 and 31,804.16

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Solution

The fourth proportional to 106,689.74, 160,042.76 and 31,804.16 is: 47,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,689.74 : 160,042.76 = 31,804.16 : x
  2. Step 2: Convert to fraction form
    106,689.74/160,042.76 = 31,804.16/x
  3. Step 3: Cross multiply
    106,689.74x = 160,042.76 × 31,804.16
  4. Step 4: Simplify right side
    106,689.74x = 5,090,024,586.65
  5. Step 5: Solve for x
    x = 5,090,024,586.65/106,689.74
  6. Step 6: Final answer
    x = 47,708.66

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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.