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Finding the Fourth Proportional to 255,213, 382,850.76 and 86,761.08

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Solution

The fourth proportional to 255,213, 382,850.76 and 86,761.08 is: 130,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,213 : 382,850.76 = 86,761.08 : x
  2. Step 2: Convert to fraction form
    255,213/382,850.76 = 86,761.08/x
  3. Step 3: Cross multiply
    255,213x = 382,850.76 × 86,761.08
  4. Step 4: Simplify right side
    255,213x = 33,216,545,416.42
  5. Step 5: Solve for x
    x = 33,216,545,416.42/255,213
  6. Step 6: Final answer
    x = 130,152.25

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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.