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Finding the Fourth Proportional to 210,430.77, 315,771.92 and 77,324.49

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Solution

The fourth proportional to 210,430.77, 315,771.92 and 77,324.49 is: 116,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,430.77 : 315,771.92 = 77,324.49 : x
  2. Step 2: Convert to fraction form
    210,430.77/315,771.92 = 77,324.49/x
  3. Step 3: Cross multiply
    210,430.77x = 315,771.92 × 77,324.49
  4. Step 4: Simplify right side
    210,430.77x = 24,416,901,241.50
  5. Step 5: Solve for x
    x = 24,416,901,241.50/210,430.77
  6. Step 6: Final answer
    x = 116,032.94

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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.