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Finding the Fourth Proportional to 183,715.30, 275,572.95 and 78,544.90

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Solution

The fourth proportional to 183,715.30, 275,572.95 and 78,544.90 is: 117,817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,715.30 : 275,572.95 = 78,544.90 : x
  2. Step 2: Convert to fraction form
    183,715.30/275,572.95 = 78,544.90/x
  3. Step 3: Cross multiply
    183,715.30x = 275,572.95 × 78,544.90
  4. Step 4: Simplify right side
    183,715.30x = 21,644,849,800.46
  5. Step 5: Solve for x
    x = 21,644,849,800.46/183,715.30
  6. Step 6: Final answer
    x = 117,817.35

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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.