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Finding the Fourth Proportional to 77,373.03, 106,793.78 and 47,175

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Solution

The fourth proportional to 77,373.03, 106,793.78 and 47,175 is: 65,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,373.03 : 106,793.78 = 47,175 : x
  2. Step 2: Convert to fraction form
    77,373.03/106,793.78 = 47,175/x
  3. Step 3: Cross multiply
    77,373.03x = 106,793.78 × 47,175
  4. Step 4: Simplify right side
    77,373.03x = 5,037,996,335.63
  5. Step 5: Solve for x
    x = 5,037,996,335.63/77,373.03
  6. Step 6: Final answer
    x = 65,113.08

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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.