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Finding the Fourth Proportional to 78,970.35, 108,944.04 and 47,120.74

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Solution

The fourth proportional to 78,970.35, 108,944.04 and 47,120.74 is: 65,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,970.35 : 108,944.04 = 47,120.74 : x
  2. Step 2: Convert to fraction form
    78,970.35/108,944.04 = 47,120.74/x
  3. Step 3: Cross multiply
    78,970.35x = 108,944.04 × 47,120.74
  4. Step 4: Simplify right side
    78,970.35x = 5,133,523,783.39
  5. Step 5: Solve for x
    x = 5,133,523,783.39/78,970.35
  6. Step 6: Final answer
    x = 65,005.71

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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.