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Finding the Fourth Proportional to 102,002.60, 153,003.90 and 31,881.80

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Solution

The fourth proportional to 102,002.60, 153,003.90 and 31,881.80 is: 47,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002.60 : 153,003.90 = 31,881.80 : x
  2. Step 2: Convert to fraction form
    102,002.60/153,003.90 = 31,881.80/x
  3. Step 3: Cross multiply
    102,002.60x = 153,003.90 × 31,881.80
  4. Step 4: Simplify right side
    102,002.60x = 4,878,039,739.02
  5. Step 5: Solve for x
    x = 4,878,039,739.02/102,002.60
  6. Step 6: Final answer
    x = 47,822.70

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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.