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Finding the Fourth Proportional to 210,249.32, 315,186.42 and 77,098.46

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Solution

The fourth proportional to 210,249.32, 315,186.42 and 77,098.46 is: 115,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,249.32 : 315,186.42 = 77,098.46 : x
  2. Step 2: Convert to fraction form
    210,249.32/315,186.42 = 77,098.46/x
  3. Step 3: Cross multiply
    210,249.32x = 315,186.42 × 77,098.46
  4. Step 4: Simplify right side
    210,249.32x = 24,300,387,594.91
  5. Step 5: Solve for x
    x = 24,300,387,594.91/210,249.32
  6. Step 6: Final answer
    x = 115,578.91

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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.