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Finding the Fourth Proportional to 210,549.84, 315,949.80 and 77,523.56

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Solution

The fourth proportional to 210,549.84, 315,949.80 and 77,523.56 is: 116,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,549.84 : 315,949.80 = 77,523.56 : x
  2. Step 2: Convert to fraction form
    210,549.84/315,949.80 = 77,523.56/x
  3. Step 3: Cross multiply
    210,549.84x = 315,949.80 × 77,523.56
  4. Step 4: Simplify right side
    210,549.84x = 24,493,553,277.29
  5. Step 5: Solve for x
    x = 24,493,553,277.29/210,549.84
  6. Step 6: Final answer
    x = 116,331.38

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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.