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Finding the Fourth Proportional to 68,324, 102,503.28 and 19,076

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Solution

The fourth proportional to 68,324, 102,503.28 and 19,076 is: 28,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,324 : 102,503.28 = 19,076 : x
  2. Step 2: Convert to fraction form
    68,324/102,503.28 = 19,076/x
  3. Step 3: Cross multiply
    68,324x = 102,503.28 × 19,076
  4. Step 4: Simplify right side
    68,324x = 1,955,352,569.28
  5. Step 5: Solve for x
    x = 1,955,352,569.28/68,324
  6. Step 6: Final answer
    x = 28,618.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.