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Finding the Fourth Proportional to 83,820.93, 115,578.41 and 61,119.87

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Solution

The fourth proportional to 83,820.93, 115,578.41 and 61,119.87 is: 84,276.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,820.93 : 115,578.41 = 61,119.87 : x
  2. Step 2: Convert to fraction form
    83,820.93/115,578.41 = 61,119.87/x
  3. Step 3: Cross multiply
    83,820.93x = 115,578.41 × 61,119.87
  4. Step 4: Simplify right side
    83,820.93x = 7,064,137,088.41
  5. Step 5: Solve for x
    x = 7,064,137,088.41/83,820.93
  6. Step 6: Final answer
    x = 84,276.53

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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.