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Finding the Fourth Proportional to 280,155.44, 420,156.84 and 93,142.64

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Solution

The fourth proportional to 280,155.44, 420,156.84 and 93,142.64 is: 139,688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,155.44 : 420,156.84 = 93,142.64 : x
  2. Step 2: Convert to fraction form
    280,155.44/420,156.84 = 93,142.64/x
  3. Step 3: Cross multiply
    280,155.44x = 420,156.84 × 93,142.64
  4. Step 4: Simplify right side
    280,155.44x = 39,134,517,291.66
  5. Step 5: Solve for x
    x = 39,134,517,291.66/280,155.44
  6. Step 6: Final answer
    x = 139,688.59

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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.