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Finding the Fourth Proportional to 65,780.98, 98,696.16 and 39,504.58

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Solution

The fourth proportional to 65,780.98, 98,696.16 and 39,504.58 is: 59,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,780.98 : 98,696.16 = 39,504.58 : x
  2. Step 2: Convert to fraction form
    65,780.98/98,696.16 = 39,504.58/x
  3. Step 3: Cross multiply
    65,780.98x = 98,696.16 × 39,504.58
  4. Step 4: Simplify right side
    65,780.98x = 3,898,950,348.41
  5. Step 5: Solve for x
    x = 3,898,950,348.41/65,780.98
  6. Step 6: Final answer
    x = 59,271.70

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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.