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Finding the Fourth Proportional to 47,089.80, 70,569.90 and 31,249.80

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Solution

The fourth proportional to 47,089.80, 70,569.90 and 31,249.80 is: 46,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,089.80 : 70,569.90 = 31,249.80 : x
  2. Step 2: Convert to fraction form
    47,089.80/70,569.90 = 31,249.80/x
  3. Step 3: Cross multiply
    47,089.80x = 70,569.90 × 31,249.80
  4. Step 4: Simplify right side
    47,089.80x = 2,205,295,261.02
  5. Step 5: Solve for x
    x = 2,205,295,261.02/47,089.80
  6. Step 6: Final answer
    x = 46,831.70

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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.