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Finding the Fourth Proportional to 113,298, 169,947 and 53,953.76

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Solution

The fourth proportional to 113,298, 169,947 and 53,953.76 is: 80,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,298 : 169,947 = 53,953.76 : x
  2. Step 2: Convert to fraction form
    113,298/169,947 = 53,953.76/x
  3. Step 3: Cross multiply
    113,298x = 169,947 × 53,953.76
  4. Step 4: Simplify right side
    113,298x = 9,169,279,650.72
  5. Step 5: Solve for x
    x = 9,169,279,650.72/113,298
  6. Step 6: Final answer
    x = 80,930.64

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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.