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Finding the Fourth Proportional to 77,512.65, 106,979.16 and 47,315.58

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Solution

The fourth proportional to 77,512.65, 106,979.16 and 47,315.58 is: 65,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,512.65 : 106,979.16 = 47,315.58 : x
  2. Step 2: Convert to fraction form
    77,512.65/106,979.16 = 47,315.58/x
  3. Step 3: Cross multiply
    77,512.65x = 106,979.16 × 47,315.58
  4. Step 4: Simplify right side
    77,512.65x = 5,061,781,003.31
  5. Step 5: Solve for x
    x = 5,061,781,003.31/77,512.65
  6. Step 6: Final answer
    x = 65,302.64

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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.