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Finding the Fourth Proportional to 281,140.80, 387,975.24 and 153,816

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Solution

The fourth proportional to 281,140.80, 387,975.24 and 153,816 is: 212,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,140.80 : 387,975.24 = 153,816 : x
  2. Step 2: Convert to fraction form
    281,140.80/387,975.24 = 153,816/x
  3. Step 3: Cross multiply
    281,140.80x = 387,975.24 × 153,816
  4. Step 4: Simplify right side
    281,140.80x = 59,676,799,515.84
  5. Step 5: Solve for x
    x = 59,676,799,515.84/281,140.80
  6. Step 6: Final answer
    x = 212,266.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.