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Finding the Fourth Proportional to 142,419.78, 213,627.78 and 42,580.80

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Solution

The fourth proportional to 142,419.78, 213,627.78 and 42,580.80 is: 63,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,419.78 : 213,627.78 = 42,580.80 : x
  2. Step 2: Convert to fraction form
    142,419.78/213,627.78 = 42,580.80/x
  3. Step 3: Cross multiply
    142,419.78x = 213,627.78 × 42,580.80
  4. Step 4: Simplify right side
    142,419.78x = 9,096,441,774.62
  5. Step 5: Solve for x
    x = 9,096,441,774.62/142,419.78
  6. Step 6: Final answer
    x = 63,870.63

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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.