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Finding the Fourth Proportional to 77,415.90, 106,835.67 and 47,202.90

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Solution

The fourth proportional to 77,415.90, 106,835.67 and 47,202.90 is: 65,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,415.90 : 106,835.67 = 47,202.90 : x
  2. Step 2: Convert to fraction form
    77,415.90/106,835.67 = 47,202.90/x
  3. Step 3: Cross multiply
    77,415.90x = 106,835.67 × 47,202.90
  4. Step 4: Simplify right side
    77,415.90x = 5,042,953,447.44
  5. Step 5: Solve for x
    x = 5,042,953,447.44/77,415.90
  6. Step 6: Final answer
    x = 65,141.06

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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.