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Finding the Fourth Proportional to 200,442.30, 300,663.45 and 107,130.30

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Solution

The fourth proportional to 200,442.30, 300,663.45 and 107,130.30 is: 160,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,442.30 : 300,663.45 = 107,130.30 : x
  2. Step 2: Convert to fraction form
    200,442.30/300,663.45 = 107,130.30/x
  3. Step 3: Cross multiply
    200,442.30x = 300,663.45 × 107,130.30
  4. Step 4: Simplify right side
    200,442.30x = 32,210,165,597.54
  5. Step 5: Solve for x
    x = 32,210,165,597.54/200,442.30
  6. Step 6: Final answer
    x = 160,695.45

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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.