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Finding the Fourth Proportional to 106,432.90, 159,664.80 and 31,543.40

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Solution

The fourth proportional to 106,432.90, 159,664.80 and 31,543.40 is: 47,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,432.90 : 159,664.80 = 31,543.40 : x
  2. Step 2: Convert to fraction form
    106,432.90/159,664.80 = 31,543.40/x
  3. Step 3: Cross multiply
    106,432.90x = 159,664.80 × 31,543.40
  4. Step 4: Simplify right side
    106,432.90x = 5,036,370,652.32
  5. Step 5: Solve for x
    x = 5,036,370,652.32/106,432.90
  6. Step 6: Final answer
    x = 47,319.68

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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.