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Finding the Fourth Proportional to 125,880.10, 188,822.68 and 46,978.60

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Solution

The fourth proportional to 125,880.10, 188,822.68 and 46,978.60 is: 70,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,880.10 : 188,822.68 = 46,978.60 : x
  2. Step 2: Convert to fraction form
    125,880.10/188,822.68 = 46,978.60/x
  3. Step 3: Cross multiply
    125,880.10x = 188,822.68 × 46,978.60
  4. Step 4: Simplify right side
    125,880.10x = 8,870,625,154.65
  5. Step 5: Solve for x
    x = 8,870,625,154.65/125,880.10
  6. Step 6: Final answer
    x = 70,468.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.