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Finding the Fourth Proportional to 105,773.53, 145,964.84 and 59,205.74

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Solution

The fourth proportional to 105,773.53, 145,964.84 and 59,205.74 is: 81,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,773.53 : 145,964.84 = 59,205.74 : x
  2. Step 2: Convert to fraction form
    105,773.53/145,964.84 = 59,205.74/x
  3. Step 3: Cross multiply
    105,773.53x = 145,964.84 × 59,205.74
  4. Step 4: Simplify right side
    105,773.53x = 8,641,956,657.09
  5. Step 5: Solve for x
    x = 8,641,956,657.09/105,773.53
  6. Step 6: Final answer
    x = 81,702.45

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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.