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Finding the Fourth Proportional to 145,955.53, 218,930.51 and 51,159.41

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Solution

The fourth proportional to 145,955.53, 218,930.51 and 51,159.41 is: 76,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,955.53 : 218,930.51 = 51,159.41 : x
  2. Step 2: Convert to fraction form
    145,955.53/218,930.51 = 51,159.41/x
  3. Step 3: Cross multiply
    145,955.53x = 218,930.51 × 51,159.41
  4. Step 4: Simplify right side
    145,955.53x = 11,200,355,722.60
  5. Step 5: Solve for x
    x = 11,200,355,722.60/145,955.53
  6. Step 6: Final answer
    x = 76,738.14

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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.