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Finding the Fourth Proportional to 165,411.60, 248,117.40 and 120,829.20

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Solution

The fourth proportional to 165,411.60, 248,117.40 and 120,829.20 is: 181,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,411.60 : 248,117.40 = 120,829.20 : x
  2. Step 2: Convert to fraction form
    165,411.60/248,117.40 = 120,829.20/x
  3. Step 3: Cross multiply
    165,411.60x = 248,117.40 × 120,829.20
  4. Step 4: Simplify right side
    165,411.60x = 29,979,826,948.08
  5. Step 5: Solve for x
    x = 29,979,826,948.08/165,411.60
  6. Step 6: Final answer
    x = 181,243.80

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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.