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Finding the Fourth Proportional to 280,138, 420,210.68 and 93,149.52

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Solution

The fourth proportional to 280,138, 420,210.68 and 93,149.52 is: 139,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,138 : 420,210.68 = 93,149.52 : x
  2. Step 2: Convert to fraction form
    280,138/420,210.68 = 93,149.52/x
  3. Step 3: Cross multiply
    280,138x = 420,210.68 × 93,149.52
  4. Step 4: Simplify right side
    280,138x = 39,142,423,140.87
  5. Step 5: Solve for x
    x = 39,142,423,140.87/280,138
  6. Step 6: Final answer
    x = 139,725.50

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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.