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Finding the Fourth Proportional to 153,903.42, 231,205.41 and 111,340.11

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Solution

The fourth proportional to 153,903.42, 231,205.41 and 111,340.11 is: 167,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,903.42 : 231,205.41 = 111,340.11 : x
  2. Step 2: Convert to fraction form
    153,903.42/231,205.41 = 111,340.11/x
  3. Step 3: Cross multiply
    153,903.42x = 231,205.41 × 111,340.11
  4. Step 4: Simplify right side
    153,903.42x = 25,742,435,782.00
  5. Step 5: Solve for x
    x = 25,742,435,782.00/153,903.42
  6. Step 6: Final answer
    x = 167,263.57

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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.