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Finding the Fourth Proportional to 174,396, 261,688.50 and 135,030

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Solution

The fourth proportional to 174,396, 261,688.50 and 135,030 is: 202,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,396 : 261,688.50 = 135,030 : x
  2. Step 2: Convert to fraction form
    174,396/261,688.50 = 135,030/x
  3. Step 3: Cross multiply
    174,396x = 261,688.50 × 135,030
  4. Step 4: Simplify right side
    174,396x = 35,335,798,155
  5. Step 5: Solve for x
    x = 35,335,798,155/174,396
  6. Step 6: Final answer
    x = 202,618.17

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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.