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Finding the Fourth Proportional to 53,205.76, 79,809.42 and 15,769.63

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Solution

The fourth proportional to 53,205.76, 79,809.42 and 15,769.63 is: 23,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,205.76 : 79,809.42 = 15,769.63 : x
  2. Step 2: Convert to fraction form
    53,205.76/79,809.42 = 15,769.63/x
  3. Step 3: Cross multiply
    53,205.76x = 79,809.42 × 15,769.63
  4. Step 4: Simplify right side
    53,205.76x = 1,258,565,023.91
  5. Step 5: Solve for x
    x = 1,258,565,023.91/53,205.76
  6. Step 6: Final answer
    x = 23,654.68

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1.5x scale

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.