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Finding the Fourth Proportional to 210,850.33, 316,072.50 and 77,657.95

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Solution

The fourth proportional to 210,850.33, 316,072.50 and 77,657.95 is: 116,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,850.33 : 316,072.50 = 77,657.95 : x
  2. Step 2: Convert to fraction form
    210,850.33/316,072.50 = 77,657.95/x
  3. Step 3: Cross multiply
    210,850.33x = 316,072.50 × 77,657.95
  4. Step 4: Simplify right side
    210,850.33x = 24,545,542,401.38
  5. Step 5: Solve for x
    x = 24,545,542,401.38/210,850.33
  6. Step 6: Final answer
    x = 116,412.16

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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.