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Finding the Fourth Proportional to 206,345.86, 284,669.16 and 142,572.94

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Solution

The fourth proportional to 206,345.86, 284,669.16 and 142,572.94 is: 196,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,345.86 : 284,669.16 = 142,572.94 : x
  2. Step 2: Convert to fraction form
    206,345.86/284,669.16 = 142,572.94/x
  3. Step 3: Cross multiply
    206,345.86x = 284,669.16 × 142,572.94
  4. Step 4: Simplify right side
    206,345.86x = 40,586,119,068.53
  5. Step 5: Solve for x
    x = 40,586,119,068.53/206,345.86
  6. Step 6: Final answer
    x = 196,689.77

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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.