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Finding the Fourth Proportional to 210,505.16, 315,882.28 and 77,478.84

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Solution

The fourth proportional to 210,505.16, 315,882.28 and 77,478.84 is: 116,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,505.16 : 315,882.28 = 77,478.84 : x
  2. Step 2: Convert to fraction form
    210,505.16/315,882.28 = 77,478.84/x
  3. Step 3: Cross multiply
    210,505.16x = 315,882.28 × 77,478.84
  4. Step 4: Simplify right side
    210,505.16x = 24,474,192,630.96
  5. Step 5: Solve for x
    x = 24,474,192,630.96/210,505.16
  6. Step 6: Final answer
    x = 116,264.10

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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.