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Finding the Fourth Proportional to 106,478.38, 146,950.47 and 79,574.23

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Solution

The fourth proportional to 106,478.38, 146,950.47 and 79,574.23 is: 109,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,478.38 : 146,950.47 = 79,574.23 : x
  2. Step 2: Convert to fraction form
    106,478.38/146,950.47 = 79,574.23/x
  3. Step 3: Cross multiply
    106,478.38x = 146,950.47 × 79,574.23
  4. Step 4: Simplify right side
    106,478.38x = 11,693,470,498.39
  5. Step 5: Solve for x
    x = 11,693,470,498.39/106,478.38
  6. Step 6: Final answer
    x = 109,820.14

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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.