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Finding the Fourth Proportional to 77,328.80, 106,721.23 and 43,343.06

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Solution

The fourth proportional to 77,328.80, 106,721.23 and 43,343.06 is: 59,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,328.80 : 106,721.23 = 43,343.06 : x
  2. Step 2: Convert to fraction form
    77,328.80/106,721.23 = 43,343.06/x
  3. Step 3: Cross multiply
    77,328.80x = 106,721.23 × 43,343.06
  4. Step 4: Simplify right side
    77,328.80x = 4,625,624,675.16
  5. Step 5: Solve for x
    x = 4,625,624,675.16/77,328.80
  6. Step 6: Final answer
    x = 59,817.62

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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.