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Finding the Fourth Proportional to 76,969.88, 106,212.84 and 44,689.76

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Solution

The fourth proportional to 76,969.88, 106,212.84 and 44,689.76 is: 61,668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,969.88 : 106,212.84 = 44,689.76 : x
  2. Step 2: Convert to fraction form
    76,969.88/106,212.84 = 44,689.76/x
  3. Step 3: Cross multiply
    76,969.88x = 106,212.84 × 44,689.76
  4. Step 4: Simplify right side
    76,969.88x = 4,746,626,328.52
  5. Step 5: Solve for x
    x = 4,746,626,328.52/76,969.88
  6. Step 6: Final answer
    x = 61,668.62

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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.