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Finding the Fourth Proportional to 195,048.64, 269,165.92 and 105,624

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Solution

The fourth proportional to 195,048.64, 269,165.92 and 105,624 is: 145,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,048.64 : 269,165.92 = 105,624 : x
  2. Step 2: Convert to fraction form
    195,048.64/269,165.92 = 105,624/x
  3. Step 3: Cross multiply
    195,048.64x = 269,165.92 × 105,624
  4. Step 4: Simplify right side
    195,048.64x = 28,430,381,134.08
  5. Step 5: Solve for x
    x = 28,430,381,134.08/195,048.64
  6. Step 6: Final answer
    x = 145,760.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.