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Finding the Fourth Proportional to 87,345, 131,017.50 and 21,681

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Solution

The fourth proportional to 87,345, 131,017.50 and 21,681 is: 32,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,345 : 131,017.50 = 21,681 : x
  2. Step 2: Convert to fraction form
    87,345/131,017.50 = 21,681/x
  3. Step 3: Cross multiply
    87,345x = 131,017.50 × 21,681
  4. Step 4: Simplify right side
    87,345x = 2,840,590,417.50
  5. Step 5: Solve for x
    x = 2,840,590,417.50/87,345
  6. Step 6: Final answer
    x = 32,521.50

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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.