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Finding the Fourth Proportional to 72,878.72, 109,376.39 and 37,828.40

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Solution

The fourth proportional to 72,878.72, 109,376.39 and 37,828.40 is: 56,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,878.72 : 109,376.39 = 37,828.40 : x
  2. Step 2: Convert to fraction form
    72,878.72/109,376.39 = 37,828.40/x
  3. Step 3: Cross multiply
    72,878.72x = 109,376.39 × 37,828.40
  4. Step 4: Simplify right side
    72,878.72x = 4,137,533,379.17
  5. Step 5: Solve for x
    x = 4,137,533,379.17/72,878.72
  6. Step 6: Final answer
    x = 56,772.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.