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Finding the Fourth Proportional to 152,930, 229,414.44 and 42,122

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Solution

The fourth proportional to 152,930, 229,414.44 and 42,122 is: 63,188.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,930 : 229,414.44 = 42,122 : x
  2. Step 2: Convert to fraction form
    152,930/229,414.44 = 42,122/x
  3. Step 3: Cross multiply
    152,930x = 229,414.44 × 42,122
  4. Step 4: Simplify right side
    152,930x = 9,663,395,041.68
  5. Step 5: Solve for x
    x = 9,663,395,041.68/152,930
  6. Step 6: Final answer
    x = 63,188.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.