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Finding the Fourth Proportional to 188,465.64, 260,082.72 and 103,582.68

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Solution

The fourth proportional to 188,465.64, 260,082.72 and 103,582.68 is: 142,944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,465.64 : 260,082.72 = 103,582.68 : x
  2. Step 2: Convert to fraction form
    188,465.64/260,082.72 = 103,582.68/x
  3. Step 3: Cross multiply
    188,465.64x = 260,082.72 × 103,582.68
  4. Step 4: Simplify right side
    188,465.64x = 26,940,065,159.29
  5. Step 5: Solve for x
    x = 26,940,065,159.29/188,465.64
  6. Step 6: Final answer
    x = 142,944.17

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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.