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Finding the Fourth Proportional to 200,303.70, 299,969.55 and 106,602.90

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Solution

The fourth proportional to 200,303.70, 299,969.55 and 106,602.90 is: 159,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,303.70 : 299,969.55 = 106,602.90 : x
  2. Step 2: Convert to fraction form
    200,303.70/299,969.55 = 106,602.90/x
  3. Step 3: Cross multiply
    200,303.70x = 299,969.55 × 106,602.90
  4. Step 4: Simplify right side
    200,303.70x = 31,977,623,941.70
  5. Step 5: Solve for x
    x = 31,977,623,941.70/200,303.70
  6. Step 6: Final answer
    x = 159,645.70

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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.