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Finding the Fourth Proportional to 50,904.09, 70,099.65 and 47,655

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Solution

The fourth proportional to 50,904.09, 70,099.65 and 47,655 is: 65,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,904.09 : 70,099.65 = 47,655 : x
  2. Step 2: Convert to fraction form
    50,904.09/70,099.65 = 47,655/x
  3. Step 3: Cross multiply
    50,904.09x = 70,099.65 × 47,655
  4. Step 4: Simplify right side
    50,904.09x = 3,340,598,820.75
  5. Step 5: Solve for x
    x = 3,340,598,820.75/50,904.09
  6. Step 6: Final answer
    x = 65,625.35

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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.