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Finding the Fourth Proportional to 105,702.99, 145,869.01 and 57,956.22

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Solution

The fourth proportional to 105,702.99, 145,869.01 and 57,956.22 is: 79,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,702.99 : 145,869.01 = 57,956.22 : x
  2. Step 2: Convert to fraction form
    105,702.99/145,869.01 = 57,956.22/x
  3. Step 3: Cross multiply
    105,702.99x = 145,869.01 × 57,956.22
  4. Step 4: Simplify right side
    105,702.99x = 8,454,016,434.74
  5. Step 5: Solve for x
    x = 8,454,016,434.74/105,702.99
  6. Step 6: Final answer
    x = 79,978.97

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1.5x scale

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.