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Finding the Fourth Proportional to 93,169.50, 139,776.12 and 30,840

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Solution

The fourth proportional to 93,169.50, 139,776.12 and 30,840 is: 46,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,169.50 : 139,776.12 = 30,840 : x
  2. Step 2: Convert to fraction form
    93,169.50/139,776.12 = 30,840/x
  3. Step 3: Cross multiply
    93,169.50x = 139,776.12 × 30,840
  4. Step 4: Simplify right side
    93,169.50x = 4,310,695,540.80
  5. Step 5: Solve for x
    x = 4,310,695,540.80/93,169.50
  6. Step 6: Final answer
    x = 46,267.24

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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.