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Finding the Fourth Proportional to 200,303.20, 299,968.80 and 106,602.40

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Solution

The fourth proportional to 200,303.20, 299,968.80 and 106,602.40 is: 159,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,303.20 : 299,968.80 = 106,602.40 : x
  2. Step 2: Convert to fraction form
    200,303.20/299,968.80 = 106,602.40/x
  3. Step 3: Cross multiply
    200,303.20x = 299,968.80 × 106,602.40
  4. Step 4: Simplify right side
    200,303.20x = 31,977,394,005.12
  5. Step 5: Solve for x
    x = 31,977,394,005.12/200,303.20
  6. Step 6: Final answer
    x = 159,644.95

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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.