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Finding the Fourth Proportional to 205,762.60, 308,510.70 and 87,401.80

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Solution

The fourth proportional to 205,762.60, 308,510.70 and 87,401.80 is: 131,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,762.60 : 308,510.70 = 87,401.80 : x
  2. Step 2: Convert to fraction form
    205,762.60/308,510.70 = 87,401.80/x
  3. Step 3: Cross multiply
    205,762.60x = 308,510.70 × 87,401.80
  4. Step 4: Simplify right side
    205,762.60x = 26,964,390,499.26
  5. Step 5: Solve for x
    x = 26,964,390,499.26/205,762.60
  6. Step 6: Final answer
    x = 131,046.12

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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.