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Finding the Fourth Proportional to 142,676, 213,077.06 and 114,638.64

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Solution

The fourth proportional to 142,676, 213,077.06 and 114,638.64 is: 171,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,676 : 213,077.06 = 114,638.64 : x
  2. Step 2: Convert to fraction form
    142,676/213,077.06 = 114,638.64/x
  3. Step 3: Cross multiply
    142,676x = 213,077.06 × 114,638.64
  4. Step 4: Simplify right side
    142,676x = 24,426,864,373.60
  5. Step 5: Solve for x
    x = 24,426,864,373.60/142,676
  6. Step 6: Final answer
    x = 171,205.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.