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Finding the Fourth Proportional to 105,281.44, 157,922.84 and 42,106.86

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Solution

The fourth proportional to 105,281.44, 157,922.84 and 42,106.86 is: 63,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,281.44 : 157,922.84 = 42,106.86 : x
  2. Step 2: Convert to fraction form
    105,281.44/157,922.84 = 42,106.86/x
  3. Step 3: Cross multiply
    105,281.44x = 157,922.84 × 42,106.86
  4. Step 4: Simplify right side
    105,281.44x = 6,649,635,019.95
  5. Step 5: Solve for x
    x = 6,649,635,019.95/105,281.44
  6. Step 6: Final answer
    x = 63,160.56

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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.