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Finding the Fourth Proportional to 217,136, 299,699.52 and 127,763.84

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Solution

The fourth proportional to 217,136, 299,699.52 and 127,763.84 is: 176,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,136 : 299,699.52 = 127,763.84 : x
  2. Step 2: Convert to fraction form
    217,136/299,699.52 = 127,763.84/x
  3. Step 3: Cross multiply
    217,136x = 299,699.52 × 127,763.84
  4. Step 4: Simplify right side
    217,136x = 38,290,761,521.36
  5. Step 5: Solve for x
    x = 38,290,761,521.36/217,136
  6. Step 6: Final answer
    x = 176,344.60

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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.