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Finding the Fourth Proportional to 170,146, 255,199.54 and 45,496.72

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Solution

The fourth proportional to 170,146, 255,199.54 and 45,496.72 is: 68,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,146 : 255,199.54 = 45,496.72 : x
  2. Step 2: Convert to fraction form
    170,146/255,199.54 = 45,496.72/x
  3. Step 3: Cross multiply
    170,146x = 255,199.54 × 45,496.72
  4. Step 4: Simplify right side
    170,146x = 11,610,742,015.51
  5. Step 5: Solve for x
    x = 11,610,742,015.51/170,146
  6. Step 6: Final answer
    x = 68,239.88

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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.