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Finding the Fourth Proportional to 188,516, 260,158.16 and 103,639.20

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Solution

The fourth proportional to 188,516, 260,158.16 and 103,639.20 is: 143,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,516 : 260,158.16 = 103,639.20 : x
  2. Step 2: Convert to fraction form
    188,516/260,158.16 = 103,639.20/x
  3. Step 3: Cross multiply
    188,516x = 260,158.16 × 103,639.20
  4. Step 4: Simplify right side
    188,516x = 26,962,583,575.87
  5. Step 5: Solve for x
    x = 26,962,583,575.87/188,516
  6. Step 6: Final answer
    x = 143,025.44

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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.