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Finding the Fourth Proportional to 128,762.87, 193,142.37 and 31,389.86

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Solution

The fourth proportional to 128,762.87, 193,142.37 and 31,389.86 is: 47,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,762.87 : 193,142.37 = 31,389.86 : x
  2. Step 2: Convert to fraction form
    128,762.87/193,142.37 = 31,389.86/x
  3. Step 3: Cross multiply
    128,762.87x = 193,142.37 × 31,389.86
  4. Step 4: Simplify right side
    128,762.87x = 6,062,712,554.94
  5. Step 5: Solve for x
    x = 6,062,712,554.94/128,762.87
  6. Step 6: Final answer
    x = 47,084.32

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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.