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Finding the Fourth Proportional to 265,035, 365,748.30 and 145,803

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Solution

The fourth proportional to 265,035, 365,748.30 and 145,803 is: 201,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,035 : 365,748.30 = 145,803 : x
  2. Step 2: Convert to fraction form
    265,035/365,748.30 = 145,803/x
  3. Step 3: Cross multiply
    265,035x = 365,748.30 × 145,803
  4. Step 4: Simplify right side
    265,035x = 53,327,199,384.90
  5. Step 5: Solve for x
    x = 53,327,199,384.90/265,035
  6. Step 6: Final answer
    x = 201,208.14

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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.