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Finding the Fourth Proportional to 210,514, 315,926.52 and 99,706

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Solution

The fourth proportional to 210,514, 315,926.52 and 99,706 is: 149,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,514 : 315,926.52 = 99,706 : x
  2. Step 2: Convert to fraction form
    210,514/315,926.52 = 99,706/x
  3. Step 3: Cross multiply
    210,514x = 315,926.52 × 99,706
  4. Step 4: Simplify right side
    210,514x = 31,499,769,603.12
  5. Step 5: Solve for x
    x = 31,499,769,603.12/210,514
  6. Step 6: Final answer
    x = 149,632.66

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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.