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Finding the Fourth Proportional to 142,279.31, 196,343.01 and 77,747.11

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Solution

The fourth proportional to 142,279.31, 196,343.01 and 77,747.11 is: 107,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,279.31 : 196,343.01 = 77,747.11 : x
  2. Step 2: Convert to fraction form
    142,279.31/196,343.01 = 77,747.11/x
  3. Step 3: Cross multiply
    142,279.31x = 196,343.01 × 77,747.11
  4. Step 4: Simplify right side
    142,279.31x = 15,265,101,105.34
  5. Step 5: Solve for x
    x = 15,265,101,105.34/142,279.31
  6. Step 6: Final answer
    x = 107,289.67

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1.5x scale

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.