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Finding the Fourth Proportional to 210,815.84, 316,340.40 and 86,244.32

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Solution

The fourth proportional to 210,815.84, 316,340.40 and 86,244.32 is: 129,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,815.84 : 316,340.40 = 86,244.32 : x
  2. Step 2: Convert to fraction form
    210,815.84/316,340.40 = 86,244.32/x
  3. Step 3: Cross multiply
    210,815.84x = 316,340.40 × 86,244.32
  4. Step 4: Simplify right side
    210,815.84x = 27,282,562,686.53
  5. Step 5: Solve for x
    x = 27,282,562,686.53/210,815.84
  6. Step 6: Final answer
    x = 129,414.20

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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.