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Finding the Fourth Proportional to 280,143, 420,218.16 and 93,154.50

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Solution

The fourth proportional to 280,143, 420,218.16 and 93,154.50 is: 139,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,143 : 420,218.16 = 93,154.50 : x
  2. Step 2: Convert to fraction form
    280,143/420,218.16 = 93,154.50/x
  3. Step 3: Cross multiply
    280,143x = 420,218.16 × 93,154.50
  4. Step 4: Simplify right side
    280,143x = 39,145,212,585.72
  5. Step 5: Solve for x
    x = 39,145,212,585.72/280,143
  6. Step 6: Final answer
    x = 139,732.97

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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.