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Finding the Fourth Proportional to 77,170.75, 106,509.29 and 45,339.64

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Solution

The fourth proportional to 77,170.75, 106,509.29 and 45,339.64 is: 62,576.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,170.75 : 106,509.29 = 45,339.64 : x
  2. Step 2: Convert to fraction form
    77,170.75/106,509.29 = 45,339.64/x
  3. Step 3: Cross multiply
    77,170.75x = 106,509.29 × 45,339.64
  4. Step 4: Simplify right side
    77,170.75x = 4,829,092,865.26
  5. Step 5: Solve for x
    x = 4,829,092,865.26/77,170.75
  6. Step 6: Final answer
    x = 62,576.73

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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.