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Finding the Fourth Proportional to 86,765.86, 130,115.94 and 47,301.49

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Solution

The fourth proportional to 86,765.86, 130,115.94 and 47,301.49 is: 70,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,765.86 : 130,115.94 = 47,301.49 : x
  2. Step 2: Convert to fraction form
    86,765.86/130,115.94 = 47,301.49/x
  3. Step 3: Cross multiply
    86,765.86x = 130,115.94 × 47,301.49
  4. Step 4: Simplify right side
    86,765.86x = 6,154,677,834.75
  5. Step 5: Solve for x
    x = 6,154,677,834.75/86,765.86
  6. Step 6: Final answer
    x = 70,934.33

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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.