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Finding the Fourth Proportional to 136,940.72, 205,411.08 and 51,567.60

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Solution

The fourth proportional to 136,940.72, 205,411.08 and 51,567.60 is: 77,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,940.72 : 205,411.08 = 51,567.60 : x
  2. Step 2: Convert to fraction form
    136,940.72/205,411.08 = 51,567.60/x
  3. Step 3: Cross multiply
    136,940.72x = 205,411.08 × 51,567.60
  4. Step 4: Simplify right side
    136,940.72x = 10,592,556,409.01
  5. Step 5: Solve for x
    x = 10,592,556,409.01/136,940.72
  6. Step 6: Final answer
    x = 77,351.40

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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.