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Finding the Fourth Proportional to 136,465.40, 204,851.70 and 105,438.20

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Solution

The fourth proportional to 136,465.40, 204,851.70 and 105,438.20 is: 158,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,465.40 : 204,851.70 = 105,438.20 : x
  2. Step 2: Convert to fraction form
    136,465.40/204,851.70 = 105,438.20/x
  3. Step 3: Cross multiply
    136,465.40x = 204,851.70 × 105,438.20
  4. Step 4: Simplify right side
    136,465.40x = 21,599,194,514.94
  5. Step 5: Solve for x
    x = 21,599,194,514.94/136,465.40
  6. Step 6: Final answer
    x = 158,275.98

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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.