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Finding the Fourth Proportional to 113,657.28, 170,451.36 and 39,768

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Solution

The fourth proportional to 113,657.28, 170,451.36 and 39,768 is: 59,639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,657.28 : 170,451.36 = 39,768 : x
  2. Step 2: Convert to fraction form
    113,657.28/170,451.36 = 39,768/x
  3. Step 3: Cross multiply
    113,657.28x = 170,451.36 × 39,768
  4. Step 4: Simplify right side
    113,657.28x = 6,778,509,684.48
  5. Step 5: Solve for x
    x = 6,778,509,684.48/113,657.28
  6. Step 6: Final answer
    x = 59,639.91

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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.