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Finding the Fourth Proportional to 141,298.68, 194,992.02 and 77,636.32

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Solution

The fourth proportional to 141,298.68, 194,992.02 and 77,636.32 is: 107,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,298.68 : 194,992.02 = 77,636.32 : x
  2. Step 2: Convert to fraction form
    141,298.68/194,992.02 = 77,636.32/x
  3. Step 3: Cross multiply
    141,298.68x = 194,992.02 × 77,636.32
  4. Step 4: Simplify right side
    141,298.68x = 15,138,462,862.17
  5. Step 5: Solve for x
    x = 15,138,462,862.17/141,298.68
  6. Step 6: Final answer
    x = 107,138.03

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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.