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Finding the Fourth Proportional to 280,127, 420,194.14 and 93,138.50

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Solution

The fourth proportional to 280,127, 420,194.14 and 93,138.50 is: 139,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,127 : 420,194.14 = 93,138.50 : x
  2. Step 2: Convert to fraction form
    280,127/420,194.14 = 93,138.50/x
  3. Step 3: Cross multiply
    280,127x = 420,194.14 × 93,138.50
  4. Step 4: Simplify right side
    280,127x = 39,136,251,908.39
  5. Step 5: Solve for x
    x = 39,136,251,908.39/280,127
  6. Step 6: Final answer
    x = 139,708.96

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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.