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Finding the Fourth Proportional to 73,117.80, 109,676.70 and 64,807.20

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Solution

The fourth proportional to 73,117.80, 109,676.70 and 64,807.20 is: 97,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,117.80 : 109,676.70 = 64,807.20 : x
  2. Step 2: Convert to fraction form
    73,117.80/109,676.70 = 64,807.20/x
  3. Step 3: Cross multiply
    73,117.80x = 109,676.70 × 64,807.20
  4. Step 4: Simplify right side
    73,117.80x = 7,107,839,832.24
  5. Step 5: Solve for x
    x = 7,107,839,832.24/73,117.80
  6. Step 6: Final answer
    x = 97,210.80

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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.