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Finding the Fourth Proportional to 56,669.64, 78,201.63 and 31,174.40

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Solution

The fourth proportional to 56,669.64, 78,201.63 and 31,174.40 is: 43,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,669.64 : 78,201.63 = 31,174.40 : x
  2. Step 2: Convert to fraction form
    56,669.64/78,201.63 = 31,174.40/x
  3. Step 3: Cross multiply
    56,669.64x = 78,201.63 × 31,174.40
  4. Step 4: Simplify right side
    56,669.64x = 2,437,888,503.26
  5. Step 5: Solve for x
    x = 2,437,888,503.26/56,669.64
  6. Step 6: Final answer
    x = 43,019.30

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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.