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Finding the Fourth Proportional to 158,952.74, 219,451.12 and 105,283.76

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Solution

The fourth proportional to 158,952.74, 219,451.12 and 105,283.76 is: 145,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,952.74 : 219,451.12 = 105,283.76 : x
  2. Step 2: Convert to fraction form
    158,952.74/219,451.12 = 105,283.76/x
  3. Step 3: Cross multiply
    158,952.74x = 219,451.12 × 105,283.76
  4. Step 4: Simplify right side
    158,952.74x = 23,104,639,049.81
  5. Step 5: Solve for x
    x = 23,104,639,049.81/158,952.74
  6. Step 6: Final answer
    x = 145,355.40

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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.