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Finding the Fourth Proportional to 142,099.86, 196,100.21 and 77,572.43

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Solution

The fourth proportional to 142,099.86, 196,100.21 and 77,572.43 is: 107,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,099.86 : 196,100.21 = 77,572.43 : x
  2. Step 2: Convert to fraction form
    142,099.86/196,100.21 = 77,572.43/x
  3. Step 3: Cross multiply
    142,099.86x = 196,100.21 × 77,572.43
  4. Step 4: Simplify right side
    142,099.86x = 15,211,969,026.64
  5. Step 5: Solve for x
    x = 15,211,969,026.64/142,099.86
  6. Step 6: Final answer
    x = 107,051.26

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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.