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Finding the Fourth Proportional to 76,459.93, 105,472.16 and 71,047.56

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Solution

The fourth proportional to 76,459.93, 105,472.16 and 71,047.56 is: 98,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,459.93 : 105,472.16 = 71,047.56 : x
  2. Step 2: Convert to fraction form
    76,459.93/105,472.16 = 71,047.56/x
  3. Step 3: Cross multiply
    76,459.93x = 105,472.16 × 71,047.56
  4. Step 4: Simplify right side
    76,459.93x = 7,493,539,793.55
  5. Step 5: Solve for x
    x = 7,493,539,793.55/76,459.93
  6. Step 6: Final answer
    x = 98,006.11

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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.