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Finding the Fourth Proportional to 66,898.65, 100,357.70 and 35,716.89

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Solution

The fourth proportional to 66,898.65, 100,357.70 and 35,716.89 is: 53,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,898.65 : 100,357.70 = 35,716.89 : x
  2. Step 2: Convert to fraction form
    66,898.65/100,357.70 = 35,716.89/x
  3. Step 3: Cross multiply
    66,898.65x = 100,357.70 × 35,716.89
  4. Step 4: Simplify right side
    66,898.65x = 3,584,464,752.97
  5. Step 5: Solve for x
    x = 3,584,464,752.97/66,898.65
  6. Step 6: Final answer
    x = 53,580.52

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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.