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Finding the Fourth Proportional to 140,039.04, 210,058.16 and 34,858

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Solution

The fourth proportional to 140,039.04, 210,058.16 and 34,858 is: 52,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,039.04 : 210,058.16 = 34,858 : x
  2. Step 2: Convert to fraction form
    140,039.04/210,058.16 = 34,858/x
  3. Step 3: Cross multiply
    140,039.04x = 210,058.16 × 34,858
  4. Step 4: Simplify right side
    140,039.04x = 7,322,207,341.28
  5. Step 5: Solve for x
    x = 7,322,207,341.28/140,039.04
  6. Step 6: Final answer
    x = 52,286.90

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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.