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Finding the Fourth Proportional to 51,598, 77,400.65 and 20,433.25

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Solution

The fourth proportional to 51,598, 77,400.65 and 20,433.25 is: 30,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,598 : 77,400.65 = 20,433.25 : x
  2. Step 2: Convert to fraction form
    51,598/77,400.65 = 20,433.25/x
  3. Step 3: Cross multiply
    51,598x = 77,400.65 × 20,433.25
  4. Step 4: Simplify right side
    51,598x = 1,581,546,831.61
  5. Step 5: Solve for x
    x = 1,581,546,831.61/51,598
  6. Step 6: Final answer
    x = 30,651.32

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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.