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Finding the Fourth Proportional to 105,120, 157,674.24 and 42,842.88

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Solution

The fourth proportional to 105,120, 157,674.24 and 42,842.88 is: 64,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,120 : 157,674.24 = 42,842.88 : x
  2. Step 2: Convert to fraction form
    105,120/157,674.24 = 42,842.88/x
  3. Step 3: Cross multiply
    105,120x = 157,674.24 × 42,842.88
  4. Step 4: Simplify right side
    105,120x = 6,755,218,543.41
  5. Step 5: Solve for x
    x = 6,755,218,543.41/105,120
  6. Step 6: Final answer
    x = 64,261.97

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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.