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Finding the Fourth Proportional to 83,870.15, 115,810.67 and 77,784.97

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Solution

The fourth proportional to 83,870.15, 115,810.67 and 77,784.97 is: 107,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,870.15 : 115,810.67 = 77,784.97 : x
  2. Step 2: Convert to fraction form
    83,870.15/115,810.67 = 77,784.97/x
  3. Step 3: Cross multiply
    83,870.15x = 115,810.67 × 77,784.97
  4. Step 4: Simplify right side
    83,870.15x = 9,008,328,741.07
  5. Step 5: Solve for x
    x = 9,008,328,741.07/83,870.15
  6. Step 6: Final answer
    x = 107,408.04

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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.