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Finding the Fourth Proportional to 210,287.57, 315,244.77 and 77,137.20

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Solution

The fourth proportional to 210,287.57, 315,244.77 and 77,137.20 is: 115,637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,287.57 : 315,244.77 = 77,137.20 : x
  2. Step 2: Convert to fraction form
    210,287.57/315,244.77 = 77,137.20/x
  3. Step 3: Cross multiply
    210,287.57x = 315,244.77 × 77,137.20
  4. Step 4: Simplify right side
    210,287.57x = 24,317,098,682.24
  5. Step 5: Solve for x
    x = 24,317,098,682.24/210,287.57
  6. Step 6: Final answer
    x = 115,637.36

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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.