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Finding the Fourth Proportional to 210,548.84, 315,948.30 and 77,522.56

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Solution

The fourth proportional to 210,548.84, 315,948.30 and 77,522.56 is: 116,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,548.84 : 315,948.30 = 77,522.56 : x
  2. Step 2: Convert to fraction form
    210,548.84/315,948.30 = 77,522.56/x
  3. Step 3: Cross multiply
    210,548.84x = 315,948.30 × 77,522.56
  4. Step 4: Simplify right side
    210,548.84x = 24,493,121,043.65
  5. Step 5: Solve for x
    x = 24,493,121,043.65/210,548.84
  6. Step 6: Final answer
    x = 116,329.88

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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.