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Finding the Fourth Proportional to 102,689.12, 154,087.85 and 72,895.77

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Solution

The fourth proportional to 102,689.12, 154,087.85 and 72,895.77 is: 109,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,689.12 : 154,087.85 = 72,895.77 : x
  2. Step 2: Convert to fraction form
    102,689.12/154,087.85 = 72,895.77/x
  3. Step 3: Cross multiply
    102,689.12x = 154,087.85 × 72,895.77
  4. Step 4: Simplify right side
    102,689.12x = 11,232,352,655.63
  5. Step 5: Solve for x
    x = 11,232,352,655.63/102,689.12
  6. Step 6: Final answer
    x = 109,382.11

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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.