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Finding the Fourth Proportional to 66,833.68, 100,211.60 and 25,283.92

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Solution

The fourth proportional to 66,833.68, 100,211.60 and 25,283.92 is: 37,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,833.68 : 100,211.60 = 25,283.92 : x
  2. Step 2: Convert to fraction form
    66,833.68/100,211.60 = 25,283.92/x
  3. Step 3: Cross multiply
    66,833.68x = 100,211.60 × 25,283.92
  4. Step 4: Simplify right side
    66,833.68x = 2,533,742,077.47
  5. Step 5: Solve for x
    x = 2,533,742,077.47/66,833.68
  6. Step 6: Final answer
    x = 37,911.16

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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.