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Finding the Fourth Proportional to 99,136, 136,808.64 and 54,424.96

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Solution

The fourth proportional to 99,136, 136,808.64 and 54,424.96 is: 75,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,136 : 136,808.64 = 54,424.96 : x
  2. Step 2: Convert to fraction form
    99,136/136,808.64 = 54,424.96/x
  3. Step 3: Cross multiply
    99,136x = 136,808.64 × 54,424.96
  4. Step 4: Simplify right side
    99,136x = 7,445,804,759.65
  5. Step 5: Solve for x
    x = 7,445,804,759.65/99,136
  6. Step 6: Final answer
    x = 75,106.97

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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.