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Finding the Fourth Proportional to 235,415.80, 324,875.10 and 138,623.86

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Solution

The fourth proportional to 235,415.80, 324,875.10 and 138,623.86 is: 191,301.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,415.80 : 324,875.10 = 138,623.86 : x
  2. Step 2: Convert to fraction form
    235,415.80/324,875.10 = 138,623.86/x
  3. Step 3: Cross multiply
    235,415.80x = 324,875.10 × 138,623.86
  4. Step 4: Simplify right side
    235,415.80x = 45,035,440,379.89
  5. Step 5: Solve for x
    x = 45,035,440,379.89/235,415.80
  6. Step 6: Final answer
    x = 191,301.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.