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Finding the Fourth Proportional to 262,140, 393,110.16 and 93,628.80

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Solution

The fourth proportional to 262,140, 393,110.16 and 93,628.80 is: 140,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,140 : 393,110.16 = 93,628.80 : x
  2. Step 2: Convert to fraction form
    262,140/393,110.16 = 93,628.80/x
  3. Step 3: Cross multiply
    262,140x = 393,110.16 × 93,628.80
  4. Step 4: Simplify right side
    262,140x = 36,806,432,548.61
  5. Step 5: Solve for x
    x = 36,806,432,548.61/262,140
  6. Step 6: Final answer
    x = 140,407.54

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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.