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Finding the Fourth Proportional to 280,134, 420,204.66 and 93,145.50

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Solution

The fourth proportional to 280,134, 420,204.66 and 93,145.50 is: 139,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,134 : 420,204.66 = 93,145.50 : x
  2. Step 2: Convert to fraction form
    280,134/420,204.66 = 93,145.50/x
  3. Step 3: Cross multiply
    280,134x = 420,204.66 × 93,145.50
  4. Step 4: Simplify right side
    280,134x = 39,140,173,158.03
  5. Step 5: Solve for x
    x = 39,140,173,158.03/280,134
  6. Step 6: Final answer
    x = 139,719.47

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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.