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Finding the Fourth Proportional to 112,657.50, 155,467.49 and 70,216

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Solution

The fourth proportional to 112,657.50, 155,467.49 and 70,216 is: 96,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,657.50 : 155,467.49 = 70,216 : x
  2. Step 2: Convert to fraction form
    112,657.50/155,467.49 = 70,216/x
  3. Step 3: Cross multiply
    112,657.50x = 155,467.49 × 70,216
  4. Step 4: Simplify right side
    112,657.50x = 10,916,305,277.84
  5. Step 5: Solve for x
    x = 10,916,305,277.84/112,657.50
  6. Step 6: Final answer
    x = 96,898.17

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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.