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Finding the Fourth Proportional to 104,909.91, 157,411.39 and 54,978.15

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Solution

The fourth proportional to 104,909.91, 157,411.39 and 54,978.15 is: 82,491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,909.91 : 157,411.39 = 54,978.15 : x
  2. Step 2: Convert to fraction form
    104,909.91/157,411.39 = 54,978.15/x
  3. Step 3: Cross multiply
    104,909.91x = 157,411.39 × 54,978.15
  4. Step 4: Simplify right side
    104,909.91x = 8,654,186,224.07
  5. Step 5: Solve for x
    x = 8,654,186,224.07/104,909.91
  6. Step 6: Final answer
    x = 82,491.60

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1.5x scale

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.