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Finding the Fourth Proportional to 229,700.25, 316,986.35 and 129,098.25

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Solution

The fourth proportional to 229,700.25, 316,986.35 and 129,098.25 is: 178,155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,700.25 : 316,986.35 = 129,098.25 : x
  2. Step 2: Convert to fraction form
    229,700.25/316,986.35 = 129,098.25/x
  3. Step 3: Cross multiply
    229,700.25x = 316,986.35 × 129,098.25
  4. Step 4: Simplify right side
    229,700.25x = 40,922,382,413.40
  5. Step 5: Solve for x
    x = 40,922,382,413.40/229,700.25
  6. Step 6: Final answer
    x = 178,155.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.