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Finding the Fourth Proportional to 255,213.12, 382,631.76 and 86,688.03

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Solution

The fourth proportional to 255,213.12, 382,631.76 and 86,688.03 is: 129,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,213.12 : 382,631.76 = 86,688.03 : x
  2. Step 2: Convert to fraction form
    255,213.12/382,631.76 = 86,688.03/x
  3. Step 3: Cross multiply
    255,213.12x = 382,631.76 × 86,688.03
  4. Step 4: Simplify right side
    255,213.12x = 33,169,593,489.83
  5. Step 5: Solve for x
    x = 33,169,593,489.83/255,213.12
  6. Step 6: Final answer
    x = 129,968.21

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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.