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Finding the Fourth Proportional to 80,530.86, 120,798.81 and 38,415.51

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Solution

The fourth proportional to 80,530.86, 120,798.81 and 38,415.51 is: 57,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,530.86 : 120,798.81 = 38,415.51 : x
  2. Step 2: Convert to fraction form
    80,530.86/120,798.81 = 38,415.51/x
  3. Step 3: Cross multiply
    80,530.86x = 120,798.81 × 38,415.51
  4. Step 4: Simplify right side
    80,530.86x = 4,640,547,893.54
  5. Step 5: Solve for x
    x = 4,640,547,893.54/80,530.86
  6. Step 6: Final answer
    x = 57,624.47

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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.