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Finding the Fourth Proportional to 47,770.92, 65,953.71 and 30,783.60

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Solution

The fourth proportional to 47,770.92, 65,953.71 and 30,783.60 is: 42,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,770.92 : 65,953.71 = 30,783.60 : x
  2. Step 2: Convert to fraction form
    47,770.92/65,953.71 = 30,783.60/x
  3. Step 3: Cross multiply
    47,770.92x = 65,953.71 × 30,783.60
  4. Step 4: Simplify right side
    47,770.92x = 2,030,292,627.16
  5. Step 5: Solve for x
    x = 2,030,292,627.16/47,770.92
  6. Step 6: Final answer
    x = 42,500.60

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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.