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Finding the Fourth Proportional to 210,224.53, 315,149.30 and 77,073.76

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Solution

The fourth proportional to 210,224.53, 315,149.30 and 77,073.76 is: 115,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,224.53 : 315,149.30 = 77,073.76 : x
  2. Step 2: Convert to fraction form
    210,224.53/315,149.30 = 77,073.76/x
  3. Step 3: Cross multiply
    210,224.53x = 315,149.30 × 77,073.76
  4. Step 4: Simplify right side
    210,224.53x = 24,289,739,551.25
  5. Step 5: Solve for x
    x = 24,289,739,551.25/210,224.53
  6. Step 6: Final answer
    x = 115,541.89

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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.