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Finding the Fourth Proportional to 105,671.92, 145,829.22 and 57,924.94

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Solution

The fourth proportional to 105,671.92, 145,829.22 and 57,924.94 is: 79,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,671.92 : 145,829.22 = 57,924.94 : x
  2. Step 2: Convert to fraction form
    105,671.92/145,829.22 = 57,924.94/x
  3. Step 3: Cross multiply
    105,671.92x = 145,829.22 × 57,924.94
  4. Step 4: Simplify right side
    105,671.92x = 8,447,148,818.75
  5. Step 5: Solve for x
    x = 8,447,148,818.75/105,671.92
  6. Step 6: Final answer
    x = 79,937.50

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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.