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Finding the Fourth Proportional to 106,590.65, 159,871.39 and 31,722.35

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Solution

The fourth proportional to 106,590.65, 159,871.39 and 31,722.35 is: 47,579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,590.65 : 159,871.39 = 31,722.35 : x
  2. Step 2: Convert to fraction form
    106,590.65/159,871.39 = 31,722.35/x
  3. Step 3: Cross multiply
    106,590.65x = 159,871.39 × 31,722.35
  4. Step 4: Simplify right side
    106,590.65x = 5,071,495,309.90
  5. Step 5: Solve for x
    x = 5,071,495,309.90/106,590.65
  6. Step 6: Final answer
    x = 47,579.18

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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.