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Finding the Fourth Proportional to 87,099, 130,698.38 and 47,119.28

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Solution

The fourth proportional to 87,099, 130,698.38 and 47,119.28 is: 70,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,099 : 130,698.38 = 47,119.28 : x
  2. Step 2: Convert to fraction form
    87,099/130,698.38 = 47,119.28/x
  3. Step 3: Cross multiply
    87,099x = 130,698.38 × 47,119.28
  4. Step 4: Simplify right side
    87,099x = 6,158,413,562.77
  5. Step 5: Solve for x
    x = 6,158,413,562.77/87,099
  6. Step 6: Final answer
    x = 70,705.90

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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.