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Finding the Fourth Proportional to 78,783.40, 108,701.41 and 48,148.66

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Solution

The fourth proportional to 78,783.40, 108,701.41 and 48,148.66 is: 66,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,783.40 : 108,701.41 = 48,148.66 : x
  2. Step 2: Convert to fraction form
    78,783.40/108,701.41 = 48,148.66/x
  3. Step 3: Cross multiply
    78,783.40x = 108,701.41 × 48,148.66
  4. Step 4: Simplify right side
    78,783.40x = 5,233,826,447.36
  5. Step 5: Solve for x
    x = 5,233,826,447.36/78,783.40
  6. Step 6: Final answer
    x = 66,433.12

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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.