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Finding the Fourth Proportional to 77,013.50, 106,278.95 and 41,685.50

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Solution

The fourth proportional to 77,013.50, 106,278.95 and 41,685.50 is: 57,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,013.50 : 106,278.95 = 41,685.50 : x
  2. Step 2: Convert to fraction form
    77,013.50/106,278.95 = 41,685.50/x
  3. Step 3: Cross multiply
    77,013.50x = 106,278.95 × 41,685.50
  4. Step 4: Simplify right side
    77,013.50x = 4,430,291,170.23
  5. Step 5: Solve for x
    x = 4,430,291,170.23/77,013.50
  6. Step 6: Final answer
    x = 57,526.16

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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.