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Finding the Fourth Proportional to 255,232, 382,851.24 and 89,020

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Solution

The fourth proportional to 255,232, 382,851.24 and 89,020 is: 133,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,232 : 382,851.24 = 89,020 : x
  2. Step 2: Convert to fraction form
    255,232/382,851.24 = 89,020/x
  3. Step 3: Cross multiply
    255,232x = 382,851.24 × 89,020
  4. Step 4: Simplify right side
    255,232x = 34,081,417,384.80
  5. Step 5: Solve for x
    x = 34,081,417,384.80/255,232
  6. Step 6: Final answer
    x = 133,531.13

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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.