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Finding the Fourth Proportional to 212,410.69, 318,616.88 and 86,053.32

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Solution

The fourth proportional to 212,410.69, 318,616.88 and 86,053.32 is: 129,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,410.69 : 318,616.88 = 86,053.32 : x
  2. Step 2: Convert to fraction form
    212,410.69/318,616.88 = 86,053.32/x
  3. Step 3: Cross multiply
    212,410.69x = 318,616.88 × 86,053.32
  4. Step 4: Simplify right side
    212,410.69x = 27,418,039,901.78
  5. Step 5: Solve for x
    x = 27,418,039,901.78/212,410.69
  6. Step 6: Final answer
    x = 129,080.32

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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.