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Finding the Fourth Proportional to 280,071.60, 420,107.40 and 93,083.10

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Solution

The fourth proportional to 280,071.60, 420,107.40 and 93,083.10 is: 139,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,071.60 : 420,107.40 = 93,083.10 : x
  2. Step 2: Convert to fraction form
    280,071.60/420,107.40 = 93,083.10/x
  3. Step 3: Cross multiply
    280,071.60x = 420,107.40 × 93,083.10
  4. Step 4: Simplify right side
    280,071.60x = 39,104,899,124.94
  5. Step 5: Solve for x
    x = 39,104,899,124.94/280,071.60
  6. Step 6: Final answer
    x = 139,624.65

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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.