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Finding the Fourth Proportional to 142,645.73, 213,968.39 and 42,805.76

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Solution

The fourth proportional to 142,645.73, 213,968.39 and 42,805.76 is: 64,208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,645.73 : 213,968.39 = 42,805.76 : x
  2. Step 2: Convert to fraction form
    142,645.73/213,968.39 = 42,805.76/x
  3. Step 3: Cross multiply
    142,645.73x = 213,968.39 × 42,805.76
  4. Step 4: Simplify right side
    142,645.73x = 9,159,078,266.06
  5. Step 5: Solve for x
    x = 9,159,078,266.06/142,645.73
  6. Step 6: Final answer
    x = 64,208.57

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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.