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Finding the Fourth Proportional to 100,920.40, 151,218.91 and 77,199.19

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Solution

The fourth proportional to 100,920.40, 151,218.91 and 77,199.19 is: 115,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,920.40 : 151,218.91 = 77,199.19 : x
  2. Step 2: Convert to fraction form
    100,920.40/151,218.91 = 77,199.19/x
  3. Step 3: Cross multiply
    100,920.40x = 151,218.91 × 77,199.19
  4. Step 4: Simplify right side
    100,920.40x = 11,673,977,083.13
  5. Step 5: Solve for x
    x = 11,673,977,083.13/100,920.40
  6. Step 6: Final answer
    x = 115,675.10

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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.