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Finding the Fourth Proportional to 61,220, 84,483.60 and 34,724

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Solution

The fourth proportional to 61,220, 84,483.60 and 34,724 is: 47,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,220 : 84,483.60 = 34,724 : x
  2. Step 2: Convert to fraction form
    61,220/84,483.60 = 34,724/x
  3. Step 3: Cross multiply
    61,220x = 84,483.60 × 34,724
  4. Step 4: Simplify right side
    61,220x = 2,933,608,526.40
  5. Step 5: Solve for x
    x = 2,933,608,526.40/61,220
  6. Step 6: Final answer
    x = 47,919.12

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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.