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Finding the Fourth Proportional to 206,547.40, 309,814.70 and 58,803.40

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Solution

The fourth proportional to 206,547.40, 309,814.70 and 58,803.40 is: 88,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,547.40 : 309,814.70 = 58,803.40 : x
  2. Step 2: Convert to fraction form
    206,547.40/309,814.70 = 58,803.40/x
  3. Step 3: Cross multiply
    206,547.40x = 309,814.70 × 58,803.40
  4. Step 4: Simplify right side
    206,547.40x = 18,218,157,729.98
  5. Step 5: Solve for x
    x = 18,218,157,729.98/206,547.40
  6. Step 6: Final answer
    x = 88,203.28

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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.