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Finding the Fourth Proportional to 61,407, 84,741.66 and 34,911

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Solution

The fourth proportional to 61,407, 84,741.66 and 34,911 is: 48,177.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,407 : 84,741.66 = 34,911 : x
  2. Step 2: Convert to fraction form
    61,407/84,741.66 = 34,911/x
  3. Step 3: Cross multiply
    61,407x = 84,741.66 × 34,911
  4. Step 4: Simplify right side
    61,407x = 2,958,416,092.26
  5. Step 5: Solve for x
    x = 2,958,416,092.26/61,407
  6. Step 6: Final answer
    x = 48,177.18

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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.