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Finding the Fourth Proportional to 77,347.86, 106,708.20 and 47,122.20

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Solution

The fourth proportional to 77,347.86, 106,708.20 and 47,122.20 is: 65,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,347.86 : 106,708.20 = 47,122.20 : x
  2. Step 2: Convert to fraction form
    77,347.86/106,708.20 = 47,122.20/x
  3. Step 3: Cross multiply
    77,347.86x = 106,708.20 × 47,122.20
  4. Step 4: Simplify right side
    77,347.86x = 5,028,325,142.04
  5. Step 5: Solve for x
    x = 5,028,325,142.04/77,347.86
  6. Step 6: Final answer
    x = 65,009.23

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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.