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Finding the Fourth Proportional to 188,458.80, 260,071.20 and 102,416.04

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Solution

The fourth proportional to 188,458.80, 260,071.20 and 102,416.04 is: 141,333.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,458.80 : 260,071.20 = 102,416.04 : x
  2. Step 2: Convert to fraction form
    188,458.80/260,071.20 = 102,416.04/x
  3. Step 3: Cross multiply
    188,458.80x = 260,071.20 × 102,416.04
  4. Step 4: Simplify right side
    188,458.80x = 26,635,462,422.05
  5. Step 5: Solve for x
    x = 26,635,462,422.05/188,458.80
  6. Step 6: Final answer
    x = 141,333.08

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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.