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Finding the Fourth Proportional to 92,957.50, 139,458.12 and 30,628

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Solution

The fourth proportional to 92,957.50, 139,458.12 and 30,628 is: 45,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,957.50 : 139,458.12 = 30,628 : x
  2. Step 2: Convert to fraction form
    92,957.50/139,458.12 = 30,628/x
  3. Step 3: Cross multiply
    92,957.50x = 139,458.12 × 30,628
  4. Step 4: Simplify right side
    92,957.50x = 4,271,323,299.36
  5. Step 5: Solve for x
    x = 4,271,323,299.36/92,957.50
  6. Step 6: Final answer
    x = 45,949.21

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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.