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Finding the Fourth Proportional to 165,399, 248,065.56 and 47,071.32

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Solution

The fourth proportional to 165,399, 248,065.56 and 47,071.32 is: 70,597.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,399 : 248,065.56 = 47,071.32 : x
  2. Step 2: Convert to fraction form
    165,399/248,065.56 = 47,071.32/x
  3. Step 3: Cross multiply
    165,399x = 248,065.56 × 47,071.32
  4. Step 4: Simplify right side
    165,399x = 11,676,773,355.74
  5. Step 5: Solve for x
    x = 11,676,773,355.74/165,399
  6. Step 6: Final answer
    x = 70,597.61

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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.