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Finding the Fourth Proportional to 115,888.16, 159,843.12 and 106,358.76

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Solution

The fourth proportional to 115,888.16, 159,843.12 and 106,358.76 is: 146,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,888.16 : 159,843.12 = 106,358.76 : x
  2. Step 2: Convert to fraction form
    115,888.16/159,843.12 = 106,358.76/x
  3. Step 3: Cross multiply
    115,888.16x = 159,843.12 × 106,358.76
  4. Step 4: Simplify right side
    115,888.16x = 17,000,716,037.73
  5. Step 5: Solve for x
    x = 17,000,716,037.73/115,888.16
  6. Step 6: Final answer
    x = 146,699.34

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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.