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Finding the Fourth Proportional to 205,325.40, 307,959.30 and 65,098.20

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Solution

The fourth proportional to 205,325.40, 307,959.30 and 65,098.20 is: 97,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,325.40 : 307,959.30 = 65,098.20 : x
  2. Step 2: Convert to fraction form
    205,325.40/307,959.30 = 65,098.20/x
  3. Step 3: Cross multiply
    205,325.40x = 307,959.30 × 65,098.20
  4. Step 4: Simplify right side
    205,325.40x = 20,047,596,103.26
  5. Step 5: Solve for x
    x = 20,047,596,103.26/205,325.40
  6. Step 6: Final answer
    x = 97,638.17

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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.