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Finding the Fourth Proportional to 70,345.22, 105,506.43 and 25,992.86

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Solution

The fourth proportional to 70,345.22, 105,506.43 and 25,992.86 is: 38,985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,345.22 : 105,506.43 = 25,992.86 : x
  2. Step 2: Convert to fraction form
    70,345.22/105,506.43 = 25,992.86/x
  3. Step 3: Cross multiply
    70,345.22x = 105,506.43 × 25,992.86
  4. Step 4: Simplify right side
    70,345.22x = 2,742,413,864.09
  5. Step 5: Solve for x
    x = 2,742,413,864.09/70,345.22
  6. Step 6: Final answer
    x = 38,985.08

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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.