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Finding the Fourth Proportional to 142,086.84, 196,034.22 and 94,349.76

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Solution

The fourth proportional to 142,086.84, 196,034.22 and 94,349.76 is: 130,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,086.84 : 196,034.22 = 94,349.76 : x
  2. Step 2: Convert to fraction form
    142,086.84/196,034.22 = 94,349.76/x
  3. Step 3: Cross multiply
    142,086.84x = 196,034.22 × 94,349.76
  4. Step 4: Simplify right side
    142,086.84x = 18,495,781,608.79
  5. Step 5: Solve for x
    x = 18,495,781,608.79/142,086.84
  6. Step 6: Final answer
    x = 130,172.38

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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.