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Finding the Fourth Proportional to 156,911.65, 235,367.48 and 137,228.65

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Solution

The fourth proportional to 156,911.65, 235,367.48 and 137,228.65 is: 205,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,911.65 : 235,367.48 = 137,228.65 : x
  2. Step 2: Convert to fraction form
    156,911.65/235,367.48 = 137,228.65/x
  3. Step 3: Cross multiply
    156,911.65x = 235,367.48 × 137,228.65
  4. Step 4: Simplify right side
    156,911.65x = 32,299,161,534.30
  5. Step 5: Solve for x
    x = 32,299,161,534.30/156,911.65
  6. Step 6: Final answer
    x = 205,842.98

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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.