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Finding the Fourth Proportional to 153,972.90, 212,472.02 and 85,059.32

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Solution

The fourth proportional to 153,972.90, 212,472.02 and 85,059.32 is: 117,376.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,972.90 : 212,472.02 = 85,059.32 : x
  2. Step 2: Convert to fraction form
    153,972.90/212,472.02 = 85,059.32/x
  3. Step 3: Cross multiply
    153,972.90x = 212,472.02 × 85,059.32
  4. Step 4: Simplify right side
    153,972.90x = 18,072,725,540.23
  5. Step 5: Solve for x
    x = 18,072,725,540.23/153,972.90
  6. Step 6: Final answer
    x = 117,376.02

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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.