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Finding the Fourth Proportional to 77,148.47, 106,455.79 and 43,158.71

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Solution

The fourth proportional to 77,148.47, 106,455.79 and 43,158.71 is: 59,553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,148.47 : 106,455.79 = 43,158.71 : x
  2. Step 2: Convert to fraction form
    77,148.47/106,455.79 = 43,158.71/x
  3. Step 3: Cross multiply
    77,148.47x = 106,455.79 × 43,158.71
  4. Step 4: Simplify right side
    77,148.47x = 4,594,494,568.43
  5. Step 5: Solve for x
    x = 4,594,494,568.43/77,148.47
  6. Step 6: Final answer
    x = 59,553.93

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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.