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Finding the Fourth Proportional to 140,611.47, 210,918.02 and 57,505.47

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Solution

The fourth proportional to 140,611.47, 210,918.02 and 57,505.47 is: 86,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,611.47 : 210,918.02 = 57,505.47 : x
  2. Step 2: Convert to fraction form
    140,611.47/210,918.02 = 57,505.47/x
  3. Step 3: Cross multiply
    140,611.47x = 210,918.02 × 57,505.47
  4. Step 4: Simplify right side
    140,611.47x = 12,128,939,584.04
  5. Step 5: Solve for x
    x = 12,128,939,584.04/140,611.47
  6. Step 6: Final answer
    x = 86,258.54

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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.