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Finding the Fourth Proportional to 53,211, 79,762.60 and 34,502.91

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Solution

The fourth proportional to 53,211, 79,762.60 and 34,502.91 is: 51,719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,211 : 79,762.60 = 34,502.91 : x
  2. Step 2: Convert to fraction form
    53,211/79,762.60 = 34,502.91/x
  3. Step 3: Cross multiply
    53,211x = 79,762.60 × 34,502.91
  4. Step 4: Simplify right side
    53,211x = 2,752,041,809.17
  5. Step 5: Solve for x
    x = 2,752,041,809.17/53,211
  6. Step 6: Final answer
    x = 51,719.42

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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.