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Finding the Fourth Proportional to 206,459.08, 309,689.02 and 56,701.32

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Solution

The fourth proportional to 206,459.08, 309,689.02 and 56,701.32 is: 85,052.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,459.08 : 309,689.02 = 56,701.32 : x
  2. Step 2: Convert to fraction form
    206,459.08/309,689.02 = 56,701.32/x
  3. Step 3: Cross multiply
    206,459.08x = 309,689.02 × 56,701.32
  4. Step 4: Simplify right side
    206,459.08x = 17,559,776,223.51
  5. Step 5: Solve for x
    x = 17,559,776,223.51/206,459.08
  6. Step 6: Final answer
    x = 85,052.09

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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.