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Finding the Fourth Proportional to 119,408.51, 164,781.95 and 65,690.33

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Solution

The fourth proportional to 119,408.51, 164,781.95 and 65,690.33 is: 90,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,408.51 : 164,781.95 = 65,690.33 : x
  2. Step 2: Convert to fraction form
    119,408.51/164,781.95 = 65,690.33/x
  3. Step 3: Cross multiply
    119,408.51x = 164,781.95 × 65,690.33
  4. Step 4: Simplify right side
    119,408.51x = 10,824,579,521.18
  5. Step 5: Solve for x
    x = 10,824,579,521.18/119,408.51
  6. Step 6: Final answer
    x = 90,651.66

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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.