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Finding the Fourth Proportional to 119,408.39, 164,781.77 and 65,690.20

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Solution

The fourth proportional to 119,408.39, 164,781.77 and 65,690.20 is: 90,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,408.39 : 164,781.77 = 65,690.20 : x
  2. Step 2: Convert to fraction form
    119,408.39/164,781.77 = 65,690.20/x
  3. Step 3: Cross multiply
    119,408.39x = 164,781.77 × 65,690.20
  4. Step 4: Simplify right side
    119,408.39x = 10,824,547,427.65
  5. Step 5: Solve for x
    x = 10,824,547,427.65/119,408.39
  6. Step 6: Final answer
    x = 90,651.48

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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.