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Finding the Fourth Proportional to 129,978.63, 194,967.95 and 46,872.63

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Solution

The fourth proportional to 129,978.63, 194,967.95 and 46,872.63 is: 70,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,978.63 : 194,967.95 = 46,872.63 : x
  2. Step 2: Convert to fraction form
    129,978.63/194,967.95 = 46,872.63/x
  3. Step 3: Cross multiply
    129,978.63x = 194,967.95 × 46,872.63
  4. Step 4: Simplify right side
    129,978.63x = 9,138,660,582.21
  5. Step 5: Solve for x
    x = 9,138,660,582.21/129,978.63
  6. Step 6: Final answer
    x = 70,308.95

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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.