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Finding the Fourth Proportional to 100,980.78, 151,465.68 and 30,854.58

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Solution

The fourth proportional to 100,980.78, 151,465.68 and 30,854.58 is: 46,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,980.78 : 151,465.68 = 30,854.58 : x
  2. Step 2: Convert to fraction form
    100,980.78/151,465.68 = 30,854.58/x
  3. Step 3: Cross multiply
    100,980.78x = 151,465.68 × 30,854.58
  4. Step 4: Simplify right side
    100,980.78x = 4,673,409,940.81
  5. Step 5: Solve for x
    x = 4,673,409,940.81/100,980.78
  6. Step 6: Final answer
    x = 46,280.19

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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.