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Finding the Fourth Proportional to 109,689.20, 164,404.20 and 46,509.20

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Solution

The fourth proportional to 109,689.20, 164,404.20 and 46,509.20 is: 69,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,689.20 : 164,404.20 = 46,509.20 : x
  2. Step 2: Convert to fraction form
    109,689.20/164,404.20 = 46,509.20/x
  3. Step 3: Cross multiply
    109,689.20x = 164,404.20 × 46,509.20
  4. Step 4: Simplify right side
    109,689.20x = 7,646,307,818.64
  5. Step 5: Solve for x
    x = 7,646,307,818.64/109,689.20
  6. Step 6: Final answer
    x = 69,708.85

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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.