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Finding the Fourth Proportional to 164,024.30, 245,882.85 and 128,465.90

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Solution

The fourth proportional to 164,024.30, 245,882.85 and 128,465.90 is: 192,578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,024.30 : 245,882.85 = 128,465.90 : x
  2. Step 2: Convert to fraction form
    164,024.30/245,882.85 = 128,465.90/x
  3. Step 3: Cross multiply
    164,024.30x = 245,882.85 × 128,465.90
  4. Step 4: Simplify right side
    164,024.30x = 31,587,561,619.82
  5. Step 5: Solve for x
    x = 31,587,561,619.82/164,024.30
  6. Step 6: Final answer
    x = 192,578.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.