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Finding the Fourth Proportional to 197,136, 272,054.40 and 107,717.76

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Solution

The fourth proportional to 197,136, 272,054.40 and 107,717.76 is: 148,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,136 : 272,054.40 = 107,717.76 : x
  2. Step 2: Convert to fraction form
    197,136/272,054.40 = 107,717.76/x
  3. Step 3: Cross multiply
    197,136x = 272,054.40 × 107,717.76
  4. Step 4: Simplify right side
    197,136x = 29,305,090,566.14
  5. Step 5: Solve for x
    x = 29,305,090,566.14/197,136
  6. Step 6: Final answer
    x = 148,654.18

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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.