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Finding the Fourth Proportional to 142,043.62, 213,058.06 and 42,204.64

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Solution

The fourth proportional to 142,043.62, 213,058.06 and 42,204.64 is: 63,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,043.62 : 213,058.06 = 42,204.64 : x
  2. Step 2: Convert to fraction form
    142,043.62/213,058.06 = 42,204.64/x
  3. Step 3: Cross multiply
    142,043.62x = 213,058.06 × 42,204.64
  4. Step 4: Simplify right side
    142,043.62x = 8,992,038,721.40
  5. Step 5: Solve for x
    x = 8,992,038,721.40/142,043.62
  6. Step 6: Final answer
    x = 63,304.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.