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Finding the Fourth Proportional to 206,810.84, 310,119.36 and 86,842.16

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Solution

The fourth proportional to 206,810.84, 310,119.36 and 86,842.16 is: 130,222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,810.84 : 310,119.36 = 86,842.16 : x
  2. Step 2: Convert to fraction form
    206,810.84/310,119.36 = 86,842.16/x
  3. Step 3: Cross multiply
    206,810.84x = 310,119.36 × 86,842.16
  4. Step 4: Simplify right side
    206,810.84x = 26,931,435,080.22
  5. Step 5: Solve for x
    x = 26,931,435,080.22/206,810.84
  6. Step 6: Final answer
    x = 130,222.55

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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.