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Finding the Fourth Proportional to 74,507.60, 102,821.50 and 42,676.47

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Solution

The fourth proportional to 74,507.60, 102,821.50 and 42,676.47 is: 58,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,507.60 : 102,821.50 = 42,676.47 : x
  2. Step 2: Convert to fraction form
    74,507.60/102,821.50 = 42,676.47/x
  3. Step 3: Cross multiply
    74,507.60x = 102,821.50 × 42,676.47
  4. Step 4: Simplify right side
    74,507.60x = 4,388,058,660.11
  5. Step 5: Solve for x
    x = 4,388,058,660.11/74,507.60
  6. Step 6: Final answer
    x = 58,894.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.