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Finding the Fourth Proportional to 56,734.50, 85,140.63 and 19,798.50

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Solution

The fourth proportional to 56,734.50, 85,140.63 and 19,798.50 is: 29,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,734.50 : 85,140.63 = 19,798.50 : x
  2. Step 2: Convert to fraction form
    56,734.50/85,140.63 = 19,798.50/x
  3. Step 3: Cross multiply
    56,734.50x = 85,140.63 × 19,798.50
  4. Step 4: Simplify right side
    56,734.50x = 1,685,656,763.06
  5. Step 5: Solve for x
    x = 1,685,656,763.06/56,734.50
  6. Step 6: Final answer
    x = 29,711.32

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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.