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Finding the Fourth Proportional to 61,218, 84,480.84 and 34,722

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Solution

The fourth proportional to 61,218, 84,480.84 and 34,722 is: 47,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,218 : 84,480.84 = 34,722 : x
  2. Step 2: Convert to fraction form
    61,218/84,480.84 = 34,722/x
  3. Step 3: Cross multiply
    61,218x = 84,480.84 × 34,722
  4. Step 4: Simplify right side
    61,218x = 2,933,343,726.48
  5. Step 5: Solve for x
    x = 2,933,343,726.48/61,218
  6. Step 6: Final answer
    x = 47,916.36

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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.