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Finding the Fourth Proportional to 188,435.12, 260,041.92 and 103,553.60

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Solution

The fourth proportional to 188,435.12, 260,041.92 and 103,553.60 is: 142,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,435.12 : 260,041.92 = 103,553.60 : x
  2. Step 2: Convert to fraction form
    188,435.12/260,041.92 = 103,553.60/x
  3. Step 3: Cross multiply
    188,435.12x = 260,041.92 × 103,553.60
  4. Step 4: Simplify right side
    188,435.12x = 26,928,276,966.91
  5. Step 5: Solve for x
    x = 26,928,276,966.91/188,435.12
  6. Step 6: Final answer
    x = 142,904.77

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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.