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Finding the Fourth Proportional to 165,898.80, 248,459.40 and 102,913.20

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Solution

The fourth proportional to 165,898.80, 248,459.40 and 102,913.20 is: 154,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,898.80 : 248,459.40 = 102,913.20 : x
  2. Step 2: Convert to fraction form
    165,898.80/248,459.40 = 102,913.20/x
  3. Step 3: Cross multiply
    165,898.80x = 248,459.40 × 102,913.20
  4. Step 4: Simplify right side
    165,898.80x = 25,569,751,924.08
  5. Step 5: Solve for x
    x = 25,569,751,924.08/165,898.80
  6. Step 6: Final answer
    x = 154,128.61

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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.