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Finding the Fourth Proportional to 86,598, 129,900.78 and 27,438.03

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Solution

The fourth proportional to 86,598, 129,900.78 and 27,438.03 is: 41,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,598 : 129,900.78 = 27,438.03 : x
  2. Step 2: Convert to fraction form
    86,598/129,900.78 = 27,438.03/x
  3. Step 3: Cross multiply
    86,598x = 129,900.78 × 27,438.03
  4. Step 4: Simplify right side
    86,598x = 3,564,221,498.66
  5. Step 5: Solve for x
    x = 3,564,221,498.66/86,598
  6. Step 6: Final answer
    x = 41,158.24

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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.