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Finding the Fourth Proportional to 165,807, 228,815.28 and 90,357.12

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Solution

The fourth proportional to 165,807, 228,815.28 and 90,357.12 is: 124,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,807 : 228,815.28 = 90,357.12 : x
  2. Step 2: Convert to fraction form
    165,807/228,815.28 = 90,357.12/x
  3. Step 3: Cross multiply
    165,807x = 228,815.28 × 90,357.12
  4. Step 4: Simplify right side
    165,807x = 20,675,089,712.79
  5. Step 5: Solve for x
    x = 20,675,089,712.79/165,807
  6. Step 6: Final answer
    x = 124,693.71

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1.5x scale

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.