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Finding the Fourth Proportional to 98,520.24, 135,964.84 and 56,078.77

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Solution

The fourth proportional to 98,520.24, 135,964.84 and 56,078.77 is: 77,392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,520.24 : 135,964.84 = 56,078.77 : x
  2. Step 2: Convert to fraction form
    98,520.24/135,964.84 = 56,078.77/x
  3. Step 3: Cross multiply
    98,520.24x = 135,964.84 × 56,078.77
  4. Step 4: Simplify right side
    98,520.24x = 7,624,740,990.45
  5. Step 5: Solve for x
    x = 7,624,740,990.45/98,520.24
  6. Step 6: Final answer
    x = 77,392.64

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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.