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Finding the Fourth Proportional to 101,981.40, 152,972.10 and 86,891.10

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Solution

The fourth proportional to 101,981.40, 152,972.10 and 86,891.10 is: 130,336.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,981.40 : 152,972.10 = 86,891.10 : x
  2. Step 2: Convert to fraction form
    101,981.40/152,972.10 = 86,891.10/x
  3. Step 3: Cross multiply
    101,981.40x = 152,972.10 × 86,891.10
  4. Step 4: Simplify right side
    101,981.40x = 13,291,914,038.31
  5. Step 5: Solve for x
    x = 13,291,914,038.31/101,981.40
  6. Step 6: Final answer
    x = 130,336.65

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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.