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Finding the Fourth Proportional to 105,242.58, 157,869.34 and 52,634.30

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Solution

The fourth proportional to 105,242.58, 157,869.34 and 52,634.30 is: 78,954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,242.58 : 157,869.34 = 52,634.30 : x
  2. Step 2: Convert to fraction form
    105,242.58/157,869.34 = 52,634.30/x
  3. Step 3: Cross multiply
    105,242.58x = 157,869.34 × 52,634.30
  4. Step 4: Simplify right side
    105,242.58x = 8,309,341,281.43
  5. Step 5: Solve for x
    x = 8,309,341,281.43/105,242.58
  6. Step 6: Final answer
    x = 78,954.18

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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.