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Finding the Fourth Proportional to 102,565.56, 153,848.34 and 28,693.56

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Solution

The fourth proportional to 102,565.56, 153,848.34 and 28,693.56 is: 43,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,565.56 : 153,848.34 = 28,693.56 : x
  2. Step 2: Convert to fraction form
    102,565.56/153,848.34 = 28,693.56/x
  3. Step 3: Cross multiply
    102,565.56x = 153,848.34 × 28,693.56
  4. Step 4: Simplify right side
    102,565.56x = 4,414,456,574.69
  5. Step 5: Solve for x
    x = 4,414,456,574.69/102,565.56
  6. Step 6: Final answer
    x = 43,040.34

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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.