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Finding the Fourth Proportional to 210,638.22, 315,926.19 and 77,487.34

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Solution

The fourth proportional to 210,638.22, 315,926.19 and 77,487.34 is: 116,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,638.22 : 315,926.19 = 77,487.34 : x
  2. Step 2: Convert to fraction form
    210,638.22/315,926.19 = 77,487.34/x
  3. Step 3: Cross multiply
    210,638.22x = 315,926.19 × 77,487.34
  4. Step 4: Simplify right side
    210,638.22x = 24,480,280,572.59
  5. Step 5: Solve for x
    x = 24,480,280,572.59/210,638.22
  6. Step 6: Final answer
    x = 116,219.56

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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.