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Finding the Fourth Proportional to 105,434.60, 157,959.90 and 49,908.20

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Solution

The fourth proportional to 105,434.60, 157,959.90 and 49,908.20 is: 74,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,434.60 : 157,959.90 = 49,908.20 : x
  2. Step 2: Convert to fraction form
    105,434.60/157,959.90 = 49,908.20/x
  3. Step 3: Cross multiply
    105,434.60x = 157,959.90 × 49,908.20
  4. Step 4: Simplify right side
    105,434.60x = 7,883,494,281.18
  5. Step 5: Solve for x
    x = 7,883,494,281.18/105,434.60
  6. Step 6: Final answer
    x = 74,771.42

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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.