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Finding the Fourth Proportional to 245,705.72, 368,540.80 and 77,274.23

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Solution

The fourth proportional to 245,705.72, 368,540.80 and 77,274.23 is: 115,905.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,705.72 : 368,540.80 = 77,274.23 : x
  2. Step 2: Convert to fraction form
    245,705.72/368,540.80 = 77,274.23/x
  3. Step 3: Cross multiply
    245,705.72x = 368,540.80 × 77,274.23
  4. Step 4: Simplify right side
    245,705.72x = 28,478,704,700.88
  5. Step 5: Solve for x
    x = 28,478,704,700.88/245,705.72
  6. Step 6: Final answer
    x = 115,905.75

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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.