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Finding the Fourth Proportional to 100,686.25, 151,030.30 and 30,565.56

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Solution

The fourth proportional to 100,686.25, 151,030.30 and 30,565.56 is: 45,848.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,686.25 : 151,030.30 = 30,565.56 : x
  2. Step 2: Convert to fraction form
    100,686.25/151,030.30 = 30,565.56/x
  3. Step 3: Cross multiply
    100,686.25x = 151,030.30 × 30,565.56
  4. Step 4: Simplify right side
    100,686.25x = 4,616,325,696.47
  5. Step 5: Solve for x
    x = 4,616,325,696.47/100,686.25
  6. Step 6: Final answer
    x = 45,848.62

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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.