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Finding the Fourth Proportional to 103,693.60, 155,655.60 and 64,295.20

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Solution

The fourth proportional to 103,693.60, 155,655.60 and 64,295.20 is: 96,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,693.60 : 155,655.60 = 64,295.20 : x
  2. Step 2: Convert to fraction form
    103,693.60/155,655.60 = 64,295.20/x
  3. Step 3: Cross multiply
    103,693.60x = 155,655.60 × 64,295.20
  4. Step 4: Simplify right side
    103,693.60x = 10,007,907,933.12
  5. Step 5: Solve for x
    x = 10,007,907,933.12/103,693.60
  6. Step 6: Final answer
    x = 96,514.23

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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.