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Finding the Fourth Proportional to 119,519.20, 164,935.12 and 65,803.08

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Solution

The fourth proportional to 119,519.20, 164,935.12 and 65,803.08 is: 90,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,519.20 : 164,935.12 = 65,803.08 : x
  2. Step 2: Convert to fraction form
    119,519.20/164,935.12 = 65,803.08/x
  3. Step 3: Cross multiply
    119,519.20x = 164,935.12 × 65,803.08
  4. Step 4: Simplify right side
    119,519.20x = 10,853,238,896.17
  5. Step 5: Solve for x
    x = 10,853,238,896.17/119,519.20
  6. Step 6: Final answer
    x = 90,807.49

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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.