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Finding the Fourth Proportional to 188,699.30, 260,399.09 and 102,656.07

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Solution

The fourth proportional to 188,699.30, 260,399.09 and 102,656.07 is: 141,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,699.30 : 260,399.09 = 102,656.07 : x
  2. Step 2: Convert to fraction form
    188,699.30/260,399.09 = 102,656.07/x
  3. Step 3: Cross multiply
    188,699.30x = 260,399.09 × 102,656.07
  4. Step 4: Simplify right side
    188,699.30x = 26,731,547,256.36
  5. Step 5: Solve for x
    x = 26,731,547,256.36/188,699.30
  6. Step 6: Final answer
    x = 141,662.15

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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.