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Finding the Fourth Proportional to 259,813.40, 389,639.10 and 102,090.20

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Solution

The fourth proportional to 259,813.40, 389,639.10 and 102,090.20 is: 153,103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,813.40 : 389,639.10 = 102,090.20 : x
  2. Step 2: Convert to fraction form
    259,813.40/389,639.10 = 102,090.20/x
  3. Step 3: Cross multiply
    259,813.40x = 389,639.10 × 102,090.20
  4. Step 4: Simplify right side
    259,813.40x = 39,778,333,646.82
  5. Step 5: Solve for x
    x = 39,778,333,646.82/259,813.40
  6. Step 6: Final answer
    x = 153,103.47

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1.5x scale

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.