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Finding the Fourth Proportional to 203,070.29, 304,884.96 and 103,298

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Solution

The fourth proportional to 203,070.29, 304,884.96 and 103,298 is: 155,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,070.29 : 304,884.96 = 103,298 : x
  2. Step 2: Convert to fraction form
    203,070.29/304,884.96 = 103,298/x
  3. Step 3: Cross multiply
    203,070.29x = 304,884.96 × 103,298
  4. Step 4: Simplify right side
    203,070.29x = 31,494,006,598.08
  5. Step 5: Solve for x
    x = 31,494,006,598.08/203,070.29
  6. Step 6: Final answer
    x = 155,089.19

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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.