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Finding the Fourth Proportional to 76,404.96, 114,612.96 and 31,987.08

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Solution

The fourth proportional to 76,404.96, 114,612.96 and 31,987.08 is: 47,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,404.96 : 114,612.96 = 31,987.08 : x
  2. Step 2: Convert to fraction form
    76,404.96/114,612.96 = 31,987.08/x
  3. Step 3: Cross multiply
    76,404.96x = 114,612.96 × 31,987.08
  4. Step 4: Simplify right side
    76,404.96x = 3,666,133,920.56
  5. Step 5: Solve for x
    x = 3,666,133,920.56/76,404.96
  6. Step 6: Final answer
    x = 47,982.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.