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Finding the Fourth Proportional to 48,652.60, 72,978.90 and 31,156.60

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Solution

The fourth proportional to 48,652.60, 72,978.90 and 31,156.60 is: 46,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,652.60 : 72,978.90 = 31,156.60 : x
  2. Step 2: Convert to fraction form
    48,652.60/72,978.90 = 31,156.60/x
  3. Step 3: Cross multiply
    48,652.60x = 72,978.90 × 31,156.60
  4. Step 4: Simplify right side
    48,652.60x = 2,273,774,395.74
  5. Step 5: Solve for x
    x = 2,273,774,395.74/48,652.60
  6. Step 6: Final answer
    x = 46,734.90

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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.