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Finding the Fourth Proportional to 156,715.48, 235,112.10 and 45,907.48

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Solution

The fourth proportional to 156,715.48, 235,112.10 and 45,907.48 is: 68,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,715.48 : 235,112.10 = 45,907.48 : x
  2. Step 2: Convert to fraction form
    156,715.48/235,112.10 = 45,907.48/x
  3. Step 3: Cross multiply
    156,715.48x = 235,112.10 × 45,907.48
  4. Step 4: Simplify right side
    156,715.48x = 10,793,404,028.51
  5. Step 5: Solve for x
    x = 10,793,404,028.51/156,715.48
  6. Step 6: Final answer
    x = 68,872.61

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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.