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Finding the Fourth Proportional to 78,154.67, 107,766.25 and 56,601.79

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Solution

The fourth proportional to 78,154.67, 107,766.25 and 56,601.79 is: 78,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,154.67 : 107,766.25 = 56,601.79 : x
  2. Step 2: Convert to fraction form
    78,154.67/107,766.25 = 56,601.79/x
  3. Step 3: Cross multiply
    78,154.67x = 107,766.25 × 56,601.79
  4. Step 4: Simplify right side
    78,154.67x = 6,099,762,240.67
  5. Step 5: Solve for x
    x = 6,099,762,240.67/78,154.67
  6. Step 6: Final answer
    x = 78,047.31

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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.