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Finding the Fourth Proportional to 153,977.82, 212,442.92 and 89,434.60

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Solution

The fourth proportional to 153,977.82, 212,442.92 and 89,434.60 is: 123,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,977.82 : 212,442.92 = 89,434.60 : x
  2. Step 2: Convert to fraction form
    153,977.82/212,442.92 = 89,434.60/x
  3. Step 3: Cross multiply
    153,977.82x = 212,442.92 × 89,434.60
  4. Step 4: Simplify right side
    153,977.82x = 18,999,747,573.03
  5. Step 5: Solve for x
    x = 18,999,747,573.03/153,977.82
  6. Step 6: Final answer
    x = 123,392.76

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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.