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Finding the Fourth Proportional to 281,026.52, 387,825.96 and 153,702.12

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Solution

The fourth proportional to 281,026.52, 387,825.96 and 153,702.12 is: 212,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,026.52 : 387,825.96 = 153,702.12 : x
  2. Step 2: Convert to fraction form
    281,026.52/387,825.96 = 153,702.12/x
  3. Step 3: Cross multiply
    281,026.52x = 387,825.96 × 153,702.12
  4. Step 4: Simplify right side
    281,026.52x = 59,609,672,243.04
  5. Step 5: Solve for x
    x = 59,609,672,243.04/281,026.52
  6. Step 6: Final answer
    x = 212,114.05

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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.