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Finding the Fourth Proportional to 56,828.50, 85,281.64 and 19,892.50

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Solution

The fourth proportional to 56,828.50, 85,281.64 and 19,892.50 is: 29,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,828.50 : 85,281.64 = 19,892.50 : x
  2. Step 2: Convert to fraction form
    56,828.50/85,281.64 = 19,892.50/x
  3. Step 3: Cross multiply
    56,828.50x = 85,281.64 × 19,892.50
  4. Step 4: Simplify right side
    56,828.50x = 1,696,465,023.70
  5. Step 5: Solve for x
    x = 1,696,465,023.70/56,828.50
  6. Step 6: Final answer
    x = 29,852.36

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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.