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Finding the Fourth Proportional to 77,407.92, 106,824.10 and 43,423.94

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Solution

The fourth proportional to 77,407.92, 106,824.10 and 43,423.94 is: 59,925.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,407.92 : 106,824.10 = 43,423.94 : x
  2. Step 2: Convert to fraction form
    77,407.92/106,824.10 = 43,423.94/x
  3. Step 3: Cross multiply
    77,407.92x = 106,824.10 × 43,423.94
  4. Step 4: Simplify right side
    77,407.92x = 4,638,723,308.95
  5. Step 5: Solve for x
    x = 4,638,723,308.95/77,407.92
  6. Step 6: Final answer
    x = 59,925.69

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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.