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Finding the Fourth Proportional to 102,062.33, 152,805.93 and 77,022.80

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Solution

The fourth proportional to 102,062.33, 152,805.93 and 77,022.80 is: 115,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,062.33 : 152,805.93 = 77,022.80 : x
  2. Step 2: Convert to fraction form
    102,062.33/152,805.93 = 77,022.80/x
  3. Step 3: Cross multiply
    102,062.33x = 152,805.93 × 77,022.80
  4. Step 4: Simplify right side
    102,062.33x = 11,769,540,585.20
  5. Step 5: Solve for x
    x = 11,769,540,585.20/102,062.33
  6. Step 6: Final answer
    x = 115,317.18

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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.