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Finding the Fourth Proportional to 280,129, 420,197.14 and 93,140.50

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Solution

The fourth proportional to 280,129, 420,197.14 and 93,140.50 is: 139,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,129 : 420,197.14 = 93,140.50 : x
  2. Step 2: Convert to fraction form
    280,129/420,197.14 = 93,140.50/x
  3. Step 3: Cross multiply
    280,129x = 420,197.14 × 93,140.50
  4. Step 4: Simplify right side
    280,129x = 39,137,371,718.17
  5. Step 5: Solve for x
    x = 39,137,371,718.17/280,129
  6. Step 6: Final answer
    x = 139,711.96

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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.