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Finding the Fourth Proportional to 202,920.95, 280,031.24 and 112,280.74

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Solution

The fourth proportional to 202,920.95, 280,031.24 and 112,280.74 is: 154,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,920.95 : 280,031.24 = 112,280.74 : x
  2. Step 2: Convert to fraction form
    202,920.95/280,031.24 = 112,280.74/x
  3. Step 3: Cross multiply
    202,920.95x = 280,031.24 × 112,280.74
  4. Step 4: Simplify right side
    202,920.95x = 31,442,114,430.94
  5. Step 5: Solve for x
    x = 31,442,114,430.94/202,920.95
  6. Step 6: Final answer
    x = 154,947.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.