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Finding the Fourth Proportional to 76,264.49, 105,209.39 and 47,985.77

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Solution

The fourth proportional to 76,264.49, 105,209.39 and 47,985.77 is: 66,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,264.49 : 105,209.39 = 47,985.77 : x
  2. Step 2: Convert to fraction form
    76,264.49/105,209.39 = 47,985.77/x
  3. Step 3: Cross multiply
    76,264.49x = 105,209.39 × 47,985.77
  4. Step 4: Simplify right side
    76,264.49x = 5,048,553,590.38
  5. Step 5: Solve for x
    x = 5,048,553,590.38/76,264.49
  6. Step 6: Final answer
    x = 66,197.96

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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.