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Finding the Fourth Proportional to 165,803.02, 248,734.08 and 77,156.62

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Solution

The fourth proportional to 165,803.02, 248,734.08 and 77,156.62 is: 115,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,803.02 : 248,734.08 = 77,156.62 : x
  2. Step 2: Convert to fraction form
    165,803.02/248,734.08 = 77,156.62/x
  3. Step 3: Cross multiply
    165,803.02x = 248,734.08 × 77,156.62
  4. Step 4: Simplify right side
    165,803.02x = 19,191,480,891.61
  5. Step 5: Solve for x
    x = 19,191,480,891.61/165,803.02
  6. Step 6: Final answer
    x = 115,748.68

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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.