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Finding the Fourth Proportional to 86,805.49, 130,218.65 and 30,634

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Solution

The fourth proportional to 86,805.49, 130,218.65 and 30,634 is: 45,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,805.49 : 130,218.65 = 30,634 : x
  2. Step 2: Convert to fraction form
    86,805.49/130,218.65 = 30,634/x
  3. Step 3: Cross multiply
    86,805.49x = 130,218.65 × 30,634
  4. Step 4: Simplify right side
    86,805.49x = 3,989,118,124.10
  5. Step 5: Solve for x
    x = 3,989,118,124.10/86,805.49
  6. Step 6: Final answer
    x = 45,954.68

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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.