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Finding the Fourth Proportional to 102,609.60, 153,669.60 and 49,849.60

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Solution

The fourth proportional to 102,609.60, 153,669.60 and 49,849.60 is: 74,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,609.60 : 153,669.60 = 49,849.60 : x
  2. Step 2: Convert to fraction form
    102,609.60/153,669.60 = 49,849.60/x
  3. Step 3: Cross multiply
    102,609.60x = 153,669.60 × 49,849.60
  4. Step 4: Simplify right side
    102,609.60x = 7,660,368,092.16
  5. Step 5: Solve for x
    x = 7,660,368,092.16/102,609.60
  6. Step 6: Final answer
    x = 74,655.47

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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.