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Finding the Fourth Proportional to 153,882.97, 212,369.24 and 85,913.30

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Solution

The fourth proportional to 153,882.97, 212,369.24 and 85,913.30 is: 118,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,882.97 : 212,369.24 = 85,913.30 : x
  2. Step 2: Convert to fraction form
    153,882.97/212,369.24 = 85,913.30/x
  3. Step 3: Cross multiply
    153,882.97x = 212,369.24 × 85,913.30
  4. Step 4: Simplify right side
    153,882.97x = 18,245,342,226.89
  5. Step 5: Solve for x
    x = 18,245,342,226.89/153,882.97
  6. Step 6: Final answer
    x = 118,566.35

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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.