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Finding the Fourth Proportional to 200,870.40, 300,956.16 and 121,797.12

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Solution

The fourth proportional to 200,870.40, 300,956.16 and 121,797.12 is: 182,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,870.40 : 300,956.16 = 121,797.12 : x
  2. Step 2: Convert to fraction form
    200,870.40/300,956.16 = 121,797.12/x
  3. Step 3: Cross multiply
    200,870.40x = 300,956.16 × 121,797.12
  4. Step 4: Simplify right side
    200,870.40x = 36,655,593,534.26
  5. Step 5: Solve for x
    x = 36,655,593,534.26/200,870.40
  6. Step 6: Final answer
    x = 182,483.80

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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.