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Finding the Fourth Proportional to 202,907.20, 280,076.88 and 142,492.48

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Solution

The fourth proportional to 202,907.20, 280,076.88 and 142,492.48 is: 196,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,907.20 : 280,076.88 = 142,492.48 : x
  2. Step 2: Convert to fraction form
    202,907.20/280,076.88 = 142,492.48/x
  3. Step 3: Cross multiply
    202,907.20x = 280,076.88 × 142,492.48
  4. Step 4: Simplify right side
    202,907.20x = 39,908,849,221.86
  5. Step 5: Solve for x
    x = 39,908,849,221.86/202,907.20
  6. Step 6: Final answer
    x = 196,685.23

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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.