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Finding the Fourth Proportional to 130,086, 179,519.76 and 70,470

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Solution

The fourth proportional to 130,086, 179,519.76 and 70,470 is: 97,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,086 : 179,519.76 = 70,470 : x
  2. Step 2: Convert to fraction form
    130,086/179,519.76 = 70,470/x
  3. Step 3: Cross multiply
    130,086x = 179,519.76 × 70,470
  4. Step 4: Simplify right side
    130,086x = 12,650,757,487.20
  5. Step 5: Solve for x
    x = 12,650,757,487.20/130,086
  6. Step 6: Final answer
    x = 97,249.19

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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.