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Finding the Fourth Proportional to 56,827.50, 85,280.14 and 19,891.50

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Solution

The fourth proportional to 56,827.50, 85,280.14 and 19,891.50 is: 29,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,827.50 : 85,280.14 = 19,891.50 : x
  2. Step 2: Convert to fraction form
    56,827.50/85,280.14 = 19,891.50/x
  3. Step 3: Cross multiply
    56,827.50x = 85,280.14 × 19,891.50
  4. Step 4: Simplify right side
    56,827.50x = 1,696,349,904.81
  5. Step 5: Solve for x
    x = 1,696,349,904.81/56,827.50
  6. Step 6: Final answer
    x = 29,850.86

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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.