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Finding the Fourth Proportional to 188,417.76, 260,028.64 and 107,871.36

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Solution

The fourth proportional to 188,417.76, 260,028.64 and 107,871.36 is: 148,869.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,417.76 : 260,028.64 = 107,871.36 : x
  2. Step 2: Convert to fraction form
    188,417.76/260,028.64 = 107,871.36/x
  3. Step 3: Cross multiply
    188,417.76x = 260,028.64 × 107,871.36
  4. Step 4: Simplify right side
    188,417.76x = 28,049,643,035.75
  5. Step 5: Solve for x
    x = 28,049,643,035.75/188,417.76
  6. Step 6: Final answer
    x = 148,869.42

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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.