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Finding the Fourth Proportional to 76,770.60, 114,895.80 and 47,207.16

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Solution

The fourth proportional to 76,770.60, 114,895.80 and 47,207.16 is: 70,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,770.60 : 114,895.80 = 47,207.16 : x
  2. Step 2: Convert to fraction form
    76,770.60/114,895.80 = 47,207.16/x
  3. Step 3: Cross multiply
    76,770.60x = 114,895.80 × 47,207.16
  4. Step 4: Simplify right side
    76,770.60x = 5,423,904,413.93
  5. Step 5: Solve for x
    x = 5,423,904,413.93/76,770.60
  6. Step 6: Final answer
    x = 70,650.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.