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Finding the Fourth Proportional to 209,663.73, 314,488.26 and 69,421.14

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Solution

The fourth proportional to 209,663.73, 314,488.26 and 69,421.14 is: 104,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,663.73 : 314,488.26 = 69,421.14 : x
  2. Step 2: Convert to fraction form
    209,663.73/314,488.26 = 69,421.14/x
  3. Step 3: Cross multiply
    209,663.73x = 314,488.26 × 69,421.14
  4. Step 4: Simplify right side
    209,663.73x = 21,832,133,525.82
  5. Step 5: Solve for x
    x = 21,832,133,525.82/209,663.73
  6. Step 6: Final answer
    x = 104,129.28

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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.