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Finding the Fourth Proportional to 105,703.52, 145,869.80 and 57,956.75

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Solution

The fourth proportional to 105,703.52, 145,869.80 and 57,956.75 is: 79,979.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,703.52 : 145,869.80 = 57,956.75 : x
  2. Step 2: Convert to fraction form
    105,703.52/145,869.80 = 57,956.75/x
  3. Step 3: Cross multiply
    105,703.52x = 145,869.80 × 57,956.75
  4. Step 4: Simplify right side
    105,703.52x = 8,454,139,059.03
  5. Step 5: Solve for x
    x = 8,454,139,059.03/105,703.52
  6. Step 6: Final answer
    x = 79,979.73

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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.