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Finding the Fourth Proportional to 98,928, 136,520.64 and 54,216

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Solution

The fourth proportional to 98,928, 136,520.64 and 54,216 is: 74,818.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,928 : 136,520.64 = 54,216 : x
  2. Step 2: Convert to fraction form
    98,928/136,520.64 = 54,216/x
  3. Step 3: Cross multiply
    98,928x = 136,520.64 × 54,216
  4. Step 4: Simplify right side
    98,928x = 7,401,603,018.24
  5. Step 5: Solve for x
    x = 7,401,603,018.24/98,928
  6. Step 6: Final answer
    x = 74,818.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.