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Finding the Fourth Proportional to 77,366.81, 106,775.06 and 43,384.47

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Solution

The fourth proportional to 77,366.81, 106,775.06 and 43,384.47 is: 59,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,366.81 : 106,775.06 = 43,384.47 : x
  2. Step 2: Convert to fraction form
    77,366.81/106,775.06 = 43,384.47/x
  3. Step 3: Cross multiply
    77,366.81x = 106,775.06 × 43,384.47
  4. Step 4: Simplify right side
    77,366.81x = 4,632,379,170.40
  5. Step 5: Solve for x
    x = 4,632,379,170.40/77,366.81
  6. Step 6: Final answer
    x = 59,875.54

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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.