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Finding the Fourth Proportional to 206,547.78, 284,808.27 and 142,774.86

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Solution

The fourth proportional to 206,547.78, 284,808.27 and 142,774.86 is: 196,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,547.78 : 284,808.27 = 142,774.86 : x
  2. Step 2: Convert to fraction form
    206,547.78/284,808.27 = 142,774.86/x
  3. Step 3: Cross multiply
    206,547.78x = 284,808.27 × 142,774.86
  4. Step 4: Simplify right side
    206,547.78x = 40,663,460,162.22
  5. Step 5: Solve for x
    x = 40,663,460,162.22/206,547.78
  6. Step 6: Final answer
    x = 196,871.93

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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.