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Finding the Fourth Proportional to 202,947.40, 304,421.10 and 92,139.40

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Solution

The fourth proportional to 202,947.40, 304,421.10 and 92,139.40 is: 138,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,947.40 : 304,421.10 = 92,139.40 : x
  2. Step 2: Convert to fraction form
    202,947.40/304,421.10 = 92,139.40/x
  3. Step 3: Cross multiply
    202,947.40x = 304,421.10 × 92,139.40
  4. Step 4: Simplify right side
    202,947.40x = 28,049,177,501.34
  5. Step 5: Solve for x
    x = 28,049,177,501.34/202,947.40
  6. Step 6: Final answer
    x = 138,209.10

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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.