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Finding the Fourth Proportional to 140,297.51, 210,465.32 and 45,496.78

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Solution

The fourth proportional to 140,297.51, 210,465.32 and 45,496.78 is: 68,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,297.51 : 210,465.32 = 45,496.78 : x
  2. Step 2: Convert to fraction form
    140,297.51/210,465.32 = 45,496.78/x
  3. Step 3: Cross multiply
    140,297.51x = 210,465.32 × 45,496.78
  4. Step 4: Simplify right side
    140,297.51x = 9,575,493,608.02
  5. Step 5: Solve for x
    x = 9,575,493,608.02/140,297.51
  6. Step 6: Final answer
    x = 68,251.34

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1.5x scale

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.