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Finding the Fourth Proportional to 205,136.80, 307,647.60 and 64,938.40

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Solution

The fourth proportional to 205,136.80, 307,647.60 and 64,938.40 is: 97,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,136.80 : 307,647.60 = 64,938.40 : x
  2. Step 2: Convert to fraction form
    205,136.80/307,647.60 = 64,938.40/x
  3. Step 3: Cross multiply
    205,136.80x = 307,647.60 × 64,938.40
  4. Step 4: Simplify right side
    205,136.80x = 19,978,142,907.84
  5. Step 5: Solve for x
    x = 19,978,142,907.84/205,136.80
  6. Step 6: Final answer
    x = 97,389.37

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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.