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Finding the Fourth Proportional to 110,129.41, 165,141.80 and 42,693

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Solution

The fourth proportional to 110,129.41, 165,141.80 and 42,693 is: 64,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,129.41 : 165,141.80 = 42,693 : x
  2. Step 2: Convert to fraction form
    110,129.41/165,141.80 = 42,693/x
  3. Step 3: Cross multiply
    110,129.41x = 165,141.80 × 42,693
  4. Step 4: Simplify right side
    110,129.41x = 7,050,398,867.40
  5. Step 5: Solve for x
    x = 7,050,398,867.40/110,129.41
  6. Step 6: Final answer
    x = 64,019.22

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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.