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Finding the Fourth Proportional to 105,697.84, 145,863.02 and 57,951.52

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Solution

The fourth proportional to 105,697.84, 145,863.02 and 57,951.52 is: 79,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,697.84 : 145,863.02 = 57,951.52 : x
  2. Step 2: Convert to fraction form
    105,697.84/145,863.02 = 57,951.52/x
  3. Step 3: Cross multiply
    105,697.84x = 145,863.02 × 57,951.52
  4. Step 4: Simplify right side
    105,697.84x = 8,452,983,720.79
  5. Step 5: Solve for x
    x = 8,452,983,720.79/105,697.84
  6. Step 6: Final answer
    x = 79,973.10

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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.