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Finding the Fourth Proportional to 209,841.48, 314,645.58 and 85,036.68

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Solution

The fourth proportional to 209,841.48, 314,645.58 and 85,036.68 is: 127,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,841.48 : 314,645.58 = 85,036.68 : x
  2. Step 2: Convert to fraction form
    209,841.48/314,645.58 = 85,036.68/x
  3. Step 3: Cross multiply
    209,841.48x = 314,645.58 × 85,036.68
  4. Step 4: Simplify right side
    209,841.48x = 26,756,415,499.87
  5. Step 5: Solve for x
    x = 26,756,415,499.87/209,841.48
  6. Step 6: Final answer
    x = 127,507.75

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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.