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Finding the Fourth Proportional to 77,130, 106,439.40 and 41,802

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Solution

The fourth proportional to 77,130, 106,439.40 and 41,802 is: 57,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,130 : 106,439.40 = 41,802 : x
  2. Step 2: Convert to fraction form
    77,130/106,439.40 = 41,802/x
  3. Step 3: Cross multiply
    77,130x = 106,439.40 × 41,802
  4. Step 4: Simplify right side
    77,130x = 4,449,379,798.80
  5. Step 5: Solve for x
    x = 4,449,379,798.80/77,130
  6. Step 6: Final answer
    x = 57,686.76

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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.