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Finding the Fourth Proportional to 70,026.30, 105,023.43 and 20,106

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Solution

The fourth proportional to 70,026.30, 105,023.43 and 20,106 is: 30,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,026.30 : 105,023.43 = 20,106 : x
  2. Step 2: Convert to fraction form
    70,026.30/105,023.43 = 20,106/x
  3. Step 3: Cross multiply
    70,026.30x = 105,023.43 × 20,106
  4. Step 4: Simplify right side
    70,026.30x = 2,111,601,083.58
  5. Step 5: Solve for x
    x = 2,111,601,083.58/70,026.30
  6. Step 6: Final answer
    x = 30,154.40

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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.