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Finding the Fourth Proportional to 142,435.39, 196,552.89 and 77,891.89

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Solution

The fourth proportional to 142,435.39, 196,552.89 and 77,891.89 is: 107,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,435.39 : 196,552.89 = 77,891.89 : x
  2. Step 2: Convert to fraction form
    142,435.39/196,552.89 = 77,891.89/x
  3. Step 3: Cross multiply
    142,435.39x = 196,552.89 × 77,891.89
  4. Step 4: Simplify right side
    142,435.39x = 15,309,875,745.15
  5. Step 5: Solve for x
    x = 15,309,875,745.15/142,435.39
  6. Step 6: Final answer
    x = 107,486.46

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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.