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Finding the Fourth Proportional to 145,870.34, 218,647.31 and 74,695.32

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Solution

The fourth proportional to 145,870.34, 218,647.31 and 74,695.32 is: 111,961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,870.34 : 218,647.31 = 74,695.32 : x
  2. Step 2: Convert to fraction form
    145,870.34/218,647.31 = 74,695.32/x
  3. Step 3: Cross multiply
    145,870.34x = 218,647.31 × 74,695.32
  4. Step 4: Simplify right side
    145,870.34x = 16,331,930,414.11
  5. Step 5: Solve for x
    x = 16,331,930,414.11/145,870.34
  6. Step 6: Final answer
    x = 111,961.97

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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.