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Finding the Fourth Proportional to 204,547, 282,300.78 and 115,140.28

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Solution

The fourth proportional to 204,547, 282,300.78 and 115,140.28 is: 158,908.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,547 : 282,300.78 = 115,140.28 : x
  2. Step 2: Convert to fraction form
    204,547/282,300.78 = 115,140.28/x
  3. Step 3: Cross multiply
    204,547x = 282,300.78 × 115,140.28
  4. Step 4: Simplify right side
    204,547x = 32,504,190,853.42
  5. Step 5: Solve for x
    x = 32,504,190,853.42/204,547
  6. Step 6: Final answer
    x = 158,908.18

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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.