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Finding the Fourth Proportional to 107,907.20, 161,860.80 and 65,916.80

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Solution

The fourth proportional to 107,907.20, 161,860.80 and 65,916.80 is: 98,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,907.20 : 161,860.80 = 65,916.80 : x
  2. Step 2: Convert to fraction form
    107,907.20/161,860.80 = 65,916.80/x
  3. Step 3: Cross multiply
    107,907.20x = 161,860.80 × 65,916.80
  4. Step 4: Simplify right side
    107,907.20x = 10,669,345,981.44
  5. Step 5: Solve for x
    x = 10,669,345,981.44/107,907.20
  6. Step 6: Final answer
    x = 98,875.20

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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.