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Finding the Fourth Proportional to 77,124.66, 106,426.83 and 43,588.50

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Solution

The fourth proportional to 77,124.66, 106,426.83 and 43,588.50 is: 60,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,124.66 : 106,426.83 = 43,588.50 : x
  2. Step 2: Convert to fraction form
    77,124.66/106,426.83 = 43,588.50/x
  3. Step 3: Cross multiply
    77,124.66x = 106,426.83 × 43,588.50
  4. Step 4: Simplify right side
    77,124.66x = 4,638,985,879.46
  5. Step 5: Solve for x
    x = 4,638,985,879.46/77,124.66
  6. Step 6: Final answer
    x = 60,149.19

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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.