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Finding the Fourth Proportional to 140,368, 193,706.24 and 76,705.60

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Solution

The fourth proportional to 140,368, 193,706.24 and 76,705.60 is: 105,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,368 : 193,706.24 = 76,705.60 : x
  2. Step 2: Convert to fraction form
    140,368/193,706.24 = 76,705.60/x
  3. Step 3: Cross multiply
    140,368x = 193,706.24 × 76,705.60
  4. Step 4: Simplify right side
    140,368x = 14,858,353,362.94
  5. Step 5: Solve for x
    x = 14,858,353,362.94/140,368
  6. Step 6: Final answer
    x = 105,852.85

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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.