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Finding the Fourth Proportional to 137,280, 189,315.84 and 89,569.92

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Solution

The fourth proportional to 137,280, 189,315.84 and 89,569.92 is: 123,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,280 : 189,315.84 = 89,569.92 : x
  2. Step 2: Convert to fraction form
    137,280/189,315.84 = 89,569.92/x
  3. Step 3: Cross multiply
    137,280x = 189,315.84 × 89,569.92
  4. Step 4: Simplify right side
    137,280x = 16,957,004,643.53
  5. Step 5: Solve for x
    x = 16,957,004,643.53/137,280
  6. Step 6: Final answer
    x = 123,521.30

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