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Finding the Fourth Proportional to 201,139.30, 301,903.35 and 122,407.30

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Solution

The fourth proportional to 201,139.30, 301,903.35 and 122,407.30 is: 183,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,139.30 : 301,903.35 = 122,407.30 : x
  2. Step 2: Convert to fraction form
    201,139.30/301,903.35 = 122,407.30/x
  3. Step 3: Cross multiply
    201,139.30x = 301,903.35 × 122,407.30
  4. Step 4: Simplify right side
    201,139.30x = 36,955,173,934.46
  5. Step 5: Solve for x
    x = 36,955,173,934.46/201,139.30
  6. Step 6: Final answer
    x = 183,729.26

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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.