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Finding the Fourth Proportional to 261,964.80, 392,716.80 and 156,825.60

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Solution

The fourth proportional to 261,964.80, 392,716.80 and 156,825.60 is: 235,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,964.80 : 392,716.80 = 156,825.60 : x
  2. Step 2: Convert to fraction form
    261,964.80/392,716.80 = 156,825.60/x
  3. Step 3: Cross multiply
    261,964.80x = 392,716.80 × 156,825.60
  4. Step 4: Simplify right side
    261,964.80x = 61,588,047,790.08
  5. Step 5: Solve for x
    x = 61,588,047,790.08/261,964.80
  6. Step 6: Final answer
    x = 235,100.47

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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.