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Finding the Fourth Proportional to 62,210, 85,849.80 and 39,854

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Solution

The fourth proportional to 62,210, 85,849.80 and 39,854 is: 54,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,210 : 85,849.80 = 39,854 : x
  2. Step 2: Convert to fraction form
    62,210/85,849.80 = 39,854/x
  3. Step 3: Cross multiply
    62,210x = 85,849.80 × 39,854
  4. Step 4: Simplify right side
    62,210x = 3,421,457,929.20
  5. Step 5: Solve for x
    x = 3,421,457,929.20/62,210
  6. Step 6: Final answer
    x = 54,998.52

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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.