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Finding the Fourth Proportional to 124,473.09, 186,709.68 and 30,978.84

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Solution

The fourth proportional to 124,473.09, 186,709.68 and 30,978.84 is: 46,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,473.09 : 186,709.68 = 30,978.84 : x
  2. Step 2: Convert to fraction form
    124,473.09/186,709.68 = 30,978.84/x
  3. Step 3: Cross multiply
    124,473.09x = 186,709.68 × 30,978.84
  4. Step 4: Simplify right side
    124,473.09x = 5,784,049,303.17
  5. Step 5: Solve for x
    x = 5,784,049,303.17/124,473.09
  6. Step 6: Final answer
    x = 46,468.27

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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.