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Finding the Fourth Proportional to 76,498.93, 105,619.35 and 47,861.74

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Solution

The fourth proportional to 76,498.93, 105,619.35 and 47,861.74 is: 66,081.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,498.93 : 105,619.35 = 47,861.74 : x
  2. Step 2: Convert to fraction form
    76,498.93/105,619.35 = 47,861.74/x
  3. Step 3: Cross multiply
    76,498.93x = 105,619.35 × 47,861.74
  4. Step 4: Simplify right side
    76,498.93x = 5,055,125,868.67
  5. Step 5: Solve for x
    x = 5,055,125,868.67/76,498.93
  6. Step 6: Final answer
    x = 66,081.00

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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.