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Finding the Fourth Proportional to 61,285.80, 84,606.86 and 47,643.78

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Solution

The fourth proportional to 61,285.80, 84,606.86 and 47,643.78 is: 65,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,285.80 : 84,606.86 = 47,643.78 : x
  2. Step 2: Convert to fraction form
    61,285.80/84,606.86 = 47,643.78/x
  3. Step 3: Cross multiply
    61,285.80x = 84,606.86 × 47,643.78
  4. Step 4: Simplify right side
    61,285.80x = 4,030,990,624.33
  5. Step 5: Solve for x
    x = 4,030,990,624.33/61,285.80
  6. Step 6: Final answer
    x = 65,773.65

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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.