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Finding the Fourth Proportional to 61,320.80, 84,615.36 and 34,460

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Solution

The fourth proportional to 61,320.80, 84,615.36 and 34,460 is: 47,550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,320.80 : 84,615.36 = 34,460 : x
  2. Step 2: Convert to fraction form
    61,320.80/84,615.36 = 34,460/x
  3. Step 3: Cross multiply
    61,320.80x = 84,615.36 × 34,460
  4. Step 4: Simplify right side
    61,320.80x = 2,915,845,305.60
  5. Step 5: Solve for x
    x = 2,915,845,305.60/61,320.80
  6. Step 6: Final answer
    x = 47,550.67

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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.