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Finding the Fourth Proportional to 86,691.78, 130,075.23 and 30,571.99

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Solution

The fourth proportional to 86,691.78, 130,075.23 and 30,571.99 is: 45,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,691.78 : 130,075.23 = 30,571.99 : x
  2. Step 2: Convert to fraction form
    86,691.78/130,075.23 = 30,571.99/x
  3. Step 3: Cross multiply
    86,691.78x = 130,075.23 × 30,571.99
  4. Step 4: Simplify right side
    86,691.78x = 3,976,657,980.43
  5. Step 5: Solve for x
    x = 3,976,657,980.43/86,691.78
  6. Step 6: Final answer
    x = 45,871.22

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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.