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Finding the Fourth Proportional to 77,149.68, 106,466.07 and 43,158

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Solution

The fourth proportional to 77,149.68, 106,466.07 and 43,158 is: 59,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,149.68 : 106,466.07 = 43,158 : x
  2. Step 2: Convert to fraction form
    77,149.68/106,466.07 = 43,158/x
  3. Step 3: Cross multiply
    77,149.68x = 106,466.07 × 43,158
  4. Step 4: Simplify right side
    77,149.68x = 4,594,862,649.06
  5. Step 5: Solve for x
    x = 4,594,862,649.06/77,149.68
  6. Step 6: Final answer
    x = 59,557.77

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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.