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Finding the Fourth Proportional to 99,846.60, 137,818.82 and 61,617.84

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Solution

The fourth proportional to 99,846.60, 137,818.82 and 61,617.84 is: 85,051.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,846.60 : 137,818.82 = 61,617.84 : x
  2. Step 2: Convert to fraction form
    99,846.60/137,818.82 = 61,617.84/x
  3. Step 3: Cross multiply
    99,846.60x = 137,818.82 × 61,617.84
  4. Step 4: Simplify right side
    99,846.60x = 8,492,097,999.75
  5. Step 5: Solve for x
    x = 8,492,097,999.75/99,846.60
  6. Step 6: Final answer
    x = 85,051.45

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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.