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Finding the Fourth Proportional to 56,865.81, 85,298.72 and 15,312.81

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Solution

The fourth proportional to 56,865.81, 85,298.72 and 15,312.81 is: 22,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,865.81 : 85,298.72 = 15,312.81 : x
  2. Step 2: Convert to fraction form
    56,865.81/85,298.72 = 15,312.81/x
  3. Step 3: Cross multiply
    56,865.81x = 85,298.72 × 15,312.81
  4. Step 4: Simplify right side
    56,865.81x = 1,306,163,092.60
  5. Step 5: Solve for x
    x = 1,306,163,092.60/56,865.81
  6. Step 6: Final answer
    x = 22,969.22

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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.