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Finding the Fourth Proportional to 205,278.40, 307,913.95 and 65,033.38

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Solution

The fourth proportional to 205,278.40, 307,913.95 and 65,033.38 is: 97,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,278.40 : 307,913.95 = 65,033.38 : x
  2. Step 2: Convert to fraction form
    205,278.40/307,913.95 = 65,033.38/x
  3. Step 3: Cross multiply
    205,278.40x = 307,913.95 × 65,033.38
  4. Step 4: Simplify right side
    205,278.40x = 20,024,683,052.91
  5. Step 5: Solve for x
    x = 20,024,683,052.91/205,278.40
  6. Step 6: Final answer
    x = 97,548.91

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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.