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Finding the Fourth Proportional to 56,683.80, 78,223.72 and 31,533.30

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Solution

The fourth proportional to 56,683.80, 78,223.72 and 31,533.30 is: 43,516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,683.80 : 78,223.72 = 31,533.30 : x
  2. Step 2: Convert to fraction form
    56,683.80/78,223.72 = 31,533.30/x
  3. Step 3: Cross multiply
    56,683.80x = 78,223.72 × 31,533.30
  4. Step 4: Simplify right side
    56,683.80x = 2,466,652,304.27
  5. Step 5: Solve for x
    x = 2,466,652,304.27/56,683.80
  6. Step 6: Final answer
    x = 43,516.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.