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Finding the Fourth Proportional to 76,211.92, 105,114.66 and 66,764.08

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Solution

The fourth proportional to 76,211.92, 105,114.66 and 66,764.08 is: 92,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,211.92 : 105,114.66 = 66,764.08 : x
  2. Step 2: Convert to fraction form
    76,211.92/105,114.66 = 66,764.08/x
  3. Step 3: Cross multiply
    76,211.92x = 105,114.66 × 66,764.08
  4. Step 4: Simplify right side
    76,211.92x = 7,017,883,569.41
  5. Step 5: Solve for x
    x = 7,017,883,569.41/76,211.92
  6. Step 6: Final answer
    x = 92,083.80

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1.5x scale

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.