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Finding the Fourth Proportional to 61,290, 84,581.31 and 34,068.63

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Solution

The fourth proportional to 61,290, 84,581.31 and 34,068.63 is: 47,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,290 : 84,581.31 = 34,068.63 : x
  2. Step 2: Convert to fraction form
    61,290/84,581.31 = 34,068.63/x
  3. Step 3: Cross multiply
    61,290x = 84,581.31 × 34,068.63
  4. Step 4: Simplify right side
    61,290x = 2,881,569,355.31
  5. Step 5: Solve for x
    x = 2,881,569,355.31/61,290
  6. Step 6: Final answer
    x = 47,015.33

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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.