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Finding the Fourth Proportional to 210,902.70, 316,381.80 and 77,876.40

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Solution

The fourth proportional to 210,902.70, 316,381.80 and 77,876.40 is: 116,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,902.70 : 316,381.80 = 77,876.40 : x
  2. Step 2: Convert to fraction form
    210,902.70/316,381.80 = 77,876.40/x
  3. Step 3: Cross multiply
    210,902.70x = 316,381.80 × 77,876.40
  4. Step 4: Simplify right side
    210,902.70x = 24,638,675,609.52
  5. Step 5: Solve for x
    x = 24,638,675,609.52/210,902.70
  6. Step 6: Final answer
    x = 116,824.85

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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.