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Finding the Fourth Proportional to 103,314.40, 154,971.60 and 69,853.30

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Solution

The fourth proportional to 103,314.40, 154,971.60 and 69,853.30 is: 104,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,314.40 : 154,971.60 = 69,853.30 : x
  2. Step 2: Convert to fraction form
    103,314.40/154,971.60 = 69,853.30/x
  3. Step 3: Cross multiply
    103,314.40x = 154,971.60 × 69,853.30
  4. Step 4: Simplify right side
    103,314.40x = 10,825,277,666.28
  5. Step 5: Solve for x
    x = 10,825,277,666.28/103,314.40
  6. Step 6: Final answer
    x = 104,779.95

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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.