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Finding the Fourth Proportional to 210,432.69, 315,774.81 and 77,326.41

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Solution

The fourth proportional to 210,432.69, 315,774.81 and 77,326.41 is: 116,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,432.69 : 315,774.81 = 77,326.41 : x
  2. Step 2: Convert to fraction form
    210,432.69/315,774.81 = 77,326.41/x
  3. Step 3: Cross multiply
    210,432.69x = 315,774.81 × 77,326.41
  4. Step 4: Simplify right side
    210,432.69x = 24,417,732,425.73
  5. Step 5: Solve for x
    x = 24,417,732,425.73/210,432.69
  6. Step 6: Final answer
    x = 116,035.83

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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.