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Finding the Fourth Proportional to 165,855.60, 248,783.40 and 148,140.90

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Solution

The fourth proportional to 165,855.60, 248,783.40 and 148,140.90 is: 222,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,855.60 : 248,783.40 = 148,140.90 : x
  2. Step 2: Convert to fraction form
    165,855.60/248,783.40 = 148,140.90/x
  3. Step 3: Cross multiply
    165,855.60x = 248,783.40 × 148,140.90
  4. Step 4: Simplify right side
    165,855.60x = 36,854,996,781.06
  5. Step 5: Solve for x
    x = 36,854,996,781.06/165,855.60
  6. Step 6: Final answer
    x = 222,211.35

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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.