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Finding the Fourth Proportional to 61,402.13, 84,734.10 and 34,544.68

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Solution

The fourth proportional to 61,402.13, 84,734.10 and 34,544.68 is: 47,671.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,402.13 : 84,734.10 = 34,544.68 : x
  2. Step 2: Convert to fraction form
    61,402.13/84,734.10 = 34,544.68/x
  3. Step 3: Cross multiply
    61,402.13x = 84,734.10 × 34,544.68
  4. Step 4: Simplify right side
    61,402.13x = 2,927,112,157.75
  5. Step 5: Solve for x
    x = 2,927,112,157.75/61,402.13
  6. Step 6: Final answer
    x = 47,671.19

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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.