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Finding the Fourth Proportional to 208,978.53, 288,478.66 and 141,087.47

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Solution

The fourth proportional to 208,978.53, 288,478.66 and 141,087.47 is: 194,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,978.53 : 288,478.66 = 141,087.47 : x
  2. Step 2: Convert to fraction form
    208,978.53/288,478.66 = 141,087.47/x
  3. Step 3: Cross multiply
    208,978.53x = 288,478.66 × 141,087.47
  4. Step 4: Simplify right side
    208,978.53x = 40,700,722,420.16
  5. Step 5: Solve for x
    x = 40,700,722,420.16/208,978.53
  6. Step 6: Final answer
    x = 194,760.30

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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.