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Finding the Fourth Proportional to 93,879.28, 129,509.98 and 83,135.10

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Solution

The fourth proportional to 93,879.28, 129,509.98 and 83,135.10 is: 114,687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,879.28 : 129,509.98 = 83,135.10 : x
  2. Step 2: Convert to fraction form
    93,879.28/129,509.98 = 83,135.10/x
  3. Step 3: Cross multiply
    93,879.28x = 129,509.98 × 83,135.10
  4. Step 4: Simplify right side
    93,879.28x = 10,766,824,930.46
  5. Step 5: Solve for x
    x = 10,766,824,930.46/93,879.28
  6. Step 6: Final answer
    x = 114,687.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.