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Finding the Fourth Proportional to 86,940.88, 130,333.08 and 31,498

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Solution

The fourth proportional to 86,940.88, 130,333.08 and 31,498 is: 47,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,940.88 : 130,333.08 = 31,498 : x
  2. Step 2: Convert to fraction form
    86,940.88/130,333.08 = 31,498/x
  3. Step 3: Cross multiply
    86,940.88x = 130,333.08 × 31,498
  4. Step 4: Simplify right side
    86,940.88x = 4,105,231,353.84
  5. Step 5: Solve for x
    x = 4,105,231,353.84/86,940.88
  6. Step 6: Final answer
    x = 47,218.65

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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.