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Finding the Fourth Proportional to 142,564.88, 196,736.48 and 78,034.12

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Solution

The fourth proportional to 142,564.88, 196,736.48 and 78,034.12 is: 107,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,564.88 : 196,736.48 = 78,034.12 : x
  2. Step 2: Convert to fraction form
    142,564.88/196,736.48 = 78,034.12/x
  3. Step 3: Cross multiply
    142,564.88x = 196,736.48 × 78,034.12
  4. Step 4: Simplify right side
    142,564.88x = 15,352,158,088.70
  5. Step 5: Solve for x
    x = 15,352,158,088.70/142,564.88
  6. Step 6: Final answer
    x = 107,685.41

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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.