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Finding the Fourth Proportional to 77,056.54, 106,337.67 and 43,065

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Solution

The fourth proportional to 77,056.54, 106,337.67 and 43,065 is: 59,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,056.54 : 106,337.67 = 43,065 : x
  2. Step 2: Convert to fraction form
    77,056.54/106,337.67 = 43,065/x
  3. Step 3: Cross multiply
    77,056.54x = 106,337.67 × 43,065
  4. Step 4: Simplify right side
    77,056.54x = 4,579,431,758.55
  5. Step 5: Solve for x
    x = 4,579,431,758.55/77,056.54
  6. Step 6: Final answer
    x = 59,429.50

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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.