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Finding the Fourth Proportional to 188,694, 260,397.72 and 103,809.24

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Solution

The fourth proportional to 188,694, 260,397.72 and 103,809.24 is: 143,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,694 : 260,397.72 = 103,809.24 : x
  2. Step 2: Convert to fraction form
    188,694/260,397.72 = 103,809.24/x
  3. Step 3: Cross multiply
    188,694x = 260,397.72 × 103,809.24
  4. Step 4: Simplify right side
    188,694x = 27,031,689,410.93
  5. Step 5: Solve for x
    x = 27,031,689,410.93/188,694
  6. Step 6: Final answer
    x = 143,256.75

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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.