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Finding the Fourth Proportional to 136,306, 204,285.88 and 61,345.84

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Solution

The fourth proportional to 136,306, 204,285.88 and 61,345.84 is: 91,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,306 : 204,285.88 = 61,345.84 : x
  2. Step 2: Convert to fraction form
    136,306/204,285.88 = 61,345.84/x
  3. Step 3: Cross multiply
    136,306x = 204,285.88 × 61,345.84
  4. Step 4: Simplify right side
    136,306x = 12,532,088,908.74
  5. Step 5: Solve for x
    x = 12,532,088,908.74/136,306
  6. Step 6: Final answer
    x = 91,940.85

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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.