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Finding the Fourth Proportional to 102,517.60, 153,776.40 and 28,645.60

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Solution

The fourth proportional to 102,517.60, 153,776.40 and 28,645.60 is: 42,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,517.60 : 153,776.40 = 28,645.60 : x
  2. Step 2: Convert to fraction form
    102,517.60/153,776.40 = 28,645.60/x
  3. Step 3: Cross multiply
    102,517.60x = 153,776.40 × 28,645.60
  4. Step 4: Simplify right side
    102,517.60x = 4,405,017,243.84
  5. Step 5: Solve for x
    x = 4,405,017,243.84/102,517.60
  6. Step 6: Final answer
    x = 42,968.40

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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.