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Finding the Fourth Proportional to 115,917.84, 159,942 and 68,153.76

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Solution

The fourth proportional to 115,917.84, 159,942 and 68,153.76 is: 94,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,917.84 : 159,942 = 68,153.76 : x
  2. Step 2: Convert to fraction form
    115,917.84/159,942 = 68,153.76/x
  3. Step 3: Cross multiply
    115,917.84x = 159,942 × 68,153.76
  4. Step 4: Simplify right side
    115,917.84x = 10,900,648,681.92
  5. Step 5: Solve for x
    x = 10,900,648,681.92/115,917.84
  6. Step 6: Final answer
    x = 94,037.71

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1.5x scale

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.