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Finding the Fourth Proportional to 210,745.43, 315,970.29 and 77,608.62

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Solution

The fourth proportional to 210,745.43, 315,970.29 and 77,608.62 is: 116,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,745.43 : 315,970.29 = 77,608.62 : x
  2. Step 2: Convert to fraction form
    210,745.43/315,970.29 = 77,608.62/x
  3. Step 3: Cross multiply
    210,745.43x = 315,970.29 × 77,608.62
  4. Step 4: Simplify right side
    210,745.43x = 24,522,018,167.90
  5. Step 5: Solve for x
    x = 24,522,018,167.90/210,745.43
  6. Step 6: Final answer
    x = 116,358.48

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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.