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Finding the Fourth Proportional to 109,306, 150,816.36 and 61,549.84

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Solution

The fourth proportional to 109,306, 150,816.36 and 61,549.84 is: 84,924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,306 : 150,816.36 = 61,549.84 : x
  2. Step 2: Convert to fraction form
    109,306/150,816.36 = 61,549.84/x
  3. Step 3: Cross multiply
    109,306x = 150,816.36 × 61,549.84
  4. Step 4: Simplify right side
    109,306x = 9,282,722,827.38
  5. Step 5: Solve for x
    x = 9,282,722,827.38/109,306
  6. Step 6: Final answer
    x = 84,924.18

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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.