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Finding the Fourth Proportional to 140,178, 193,438.44 and 76,503.60

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Solution

The fourth proportional to 140,178, 193,438.44 and 76,503.60 is: 105,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,178 : 193,438.44 = 76,503.60 : x
  2. Step 2: Convert to fraction form
    140,178/193,438.44 = 76,503.60/x
  3. Step 3: Cross multiply
    140,178x = 193,438.44 × 76,503.60
  4. Step 4: Simplify right side
    140,178x = 14,798,737,038.38
  5. Step 5: Solve for x
    x = 14,798,737,038.38/140,178
  6. Step 6: Final answer
    x = 105,571.04

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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.