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Finding the Fourth Proportional to 105,289.92, 157,959.84 and 31,416

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Solution

The fourth proportional to 105,289.92, 157,959.84 and 31,416 is: 47,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,289.92 : 157,959.84 = 31,416 : x
  2. Step 2: Convert to fraction form
    105,289.92/157,959.84 = 31,416/x
  3. Step 3: Cross multiply
    105,289.92x = 157,959.84 × 31,416
  4. Step 4: Simplify right side
    105,289.92x = 4,962,466,333.44
  5. Step 5: Solve for x
    x = 4,962,466,333.44/105,289.92
  6. Step 6: Final answer
    x = 47,131.45

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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.