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Finding the Fourth Proportional to 77,120, 106,440.18 and 43,586

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Solution

The fourth proportional to 77,120, 106,440.18 and 43,586 is: 60,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,120 : 106,440.18 = 43,586 : x
  2. Step 2: Convert to fraction form
    77,120/106,440.18 = 43,586/x
  3. Step 3: Cross multiply
    77,120x = 106,440.18 × 43,586
  4. Step 4: Simplify right side
    77,120x = 4,639,301,685.48
  5. Step 5: Solve for x
    x = 4,639,301,685.48/77,120
  6. Step 6: Final answer
    x = 60,156.92

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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.