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Finding the Fourth Proportional to 78,994.60, 118,491.88 and 31,631.02

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Solution

The fourth proportional to 78,994.60, 118,491.88 and 31,631.02 is: 47,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,994.60 : 118,491.88 = 31,631.02 : x
  2. Step 2: Convert to fraction form
    78,994.60/118,491.88 = 31,631.02/x
  3. Step 3: Cross multiply
    78,994.60x = 118,491.88 × 31,631.02
  4. Step 4: Simplify right side
    78,994.60x = 3,748,019,026.12
  5. Step 5: Solve for x
    x = 3,748,019,026.12/78,994.60
  6. Step 6: Final answer
    x = 47,446.52

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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.