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Finding the Fourth Proportional to 115,870.81, 159,819.11 and 106,341.42

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Solution

The fourth proportional to 115,870.81, 159,819.11 and 106,341.42 is: 146,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,870.81 : 159,819.11 = 106,341.42 : x
  2. Step 2: Convert to fraction form
    115,870.81/159,819.11 = 106,341.42/x
  3. Step 3: Cross multiply
    115,870.81x = 159,819.11 × 106,341.42
  4. Step 4: Simplify right side
    115,870.81x = 16,995,390,767.07
  5. Step 5: Solve for x
    x = 16,995,390,767.07/115,870.81
  6. Step 6: Final answer
    x = 146,675.34

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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.