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Finding the Fourth Proportional to 74,076.54, 102,144.15 and 47,188.86

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Solution

The fourth proportional to 74,076.54, 102,144.15 and 47,188.86 is: 65,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,076.54 : 102,144.15 = 47,188.86 : x
  2. Step 2: Convert to fraction form
    74,076.54/102,144.15 = 47,188.86/x
  3. Step 3: Cross multiply
    74,076.54x = 102,144.15 × 47,188.86
  4. Step 4: Simplify right side
    74,076.54x = 4,820,065,994.17
  5. Step 5: Solve for x
    x = 4,820,065,994.17/74,076.54
  6. Step 6: Final answer
    x = 65,068.72

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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.