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Finding the Fourth Proportional to 120,079.48, 165,730.26 and 69,807.64

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Solution

The fourth proportional to 120,079.48, 165,730.26 and 69,807.64 is: 96,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,079.48 : 165,730.26 = 69,807.64 : x
  2. Step 2: Convert to fraction form
    120,079.48/165,730.26 = 69,807.64/x
  3. Step 3: Cross multiply
    120,079.48x = 165,730.26 × 69,807.64
  4. Step 4: Simplify right side
    120,079.48x = 11,569,238,327.19
  5. Step 5: Solve for x
    x = 11,569,238,327.19/120,079.48
  6. Step 6: Final answer
    x = 96,346.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.