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Finding the Fourth Proportional to 136,919.29, 205,402.29 and 61,045.36

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Solution

The fourth proportional to 136,919.29, 205,402.29 and 61,045.36 is: 91,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,919.29 : 205,402.29 = 61,045.36 : x
  2. Step 2: Convert to fraction form
    136,919.29/205,402.29 = 61,045.36/x
  3. Step 3: Cross multiply
    136,919.29x = 205,402.29 × 61,045.36
  4. Step 4: Simplify right side
    136,919.29x = 12,538,855,405.64
  5. Step 5: Solve for x
    x = 12,538,855,405.64/136,919.29
  6. Step 6: Final answer
    x = 91,578.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.