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Finding the Fourth Proportional to 205,547.40, 307,989.90 and 116,536.20

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Solution

The fourth proportional to 205,547.40, 307,989.90 and 116,536.20 is: 174,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,547.40 : 307,989.90 = 116,536.20 : x
  2. Step 2: Convert to fraction form
    205,547.40/307,989.90 = 116,536.20/x
  3. Step 3: Cross multiply
    205,547.40x = 307,989.90 × 116,536.20
  4. Step 4: Simplify right side
    205,547.40x = 35,891,972,584.38
  5. Step 5: Solve for x
    x = 35,891,972,584.38/205,547.40
  6. Step 6: Final answer
    x = 174,616.52

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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.