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Finding the Fourth Proportional to 188,539.34, 260,186.04 and 103,657

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Solution

The fourth proportional to 188,539.34, 260,186.04 and 103,657 is: 143,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,539.34 : 260,186.04 = 103,657 : x
  2. Step 2: Convert to fraction form
    188,539.34/260,186.04 = 103,657/x
  3. Step 3: Cross multiply
    188,539.34x = 260,186.04 × 103,657
  4. Step 4: Simplify right side
    188,539.34x = 26,970,104,348.28
  5. Step 5: Solve for x
    x = 26,970,104,348.28/188,539.34
  6. Step 6: Final answer
    x = 143,047.62

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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.