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Finding the Fourth Proportional to 70,017.51, 105,026.07 and 17,427

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Solution

The fourth proportional to 70,017.51, 105,026.07 and 17,427 is: 26,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,017.51 : 105,026.07 = 17,427 : x
  2. Step 2: Convert to fraction form
    70,017.51/105,026.07 = 17,427/x
  3. Step 3: Cross multiply
    70,017.51x = 105,026.07 × 17,427
  4. Step 4: Simplify right side
    70,017.51x = 1,830,289,321.89
  5. Step 5: Solve for x
    x = 1,830,289,321.89/70,017.51
  6. Step 6: Final answer
    x = 26,140.45

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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.