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Finding the Fourth Proportional to 103,640.78, 155,459.44 and 46,683

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Solution

The fourth proportional to 103,640.78, 155,459.44 and 46,683 is: 70,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640.78 : 155,459.44 = 46,683 : x
  2. Step 2: Convert to fraction form
    103,640.78/155,459.44 = 46,683/x
  3. Step 3: Cross multiply
    103,640.78x = 155,459.44 × 46,683
  4. Step 4: Simplify right side
    103,640.78x = 7,257,313,037.52
  5. Step 5: Solve for x
    x = 7,257,313,037.52/103,640.78
  6. Step 6: Final answer
    x = 70,023.72

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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.