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Finding the Fourth Proportional to 154,409.86, 213,083.51 and 86,426.81

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Solution

The fourth proportional to 154,409.86, 213,083.51 and 86,426.81 is: 119,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,409.86 : 213,083.51 = 86,426.81 : x
  2. Step 2: Convert to fraction form
    154,409.86/213,083.51 = 86,426.81/x
  3. Step 3: Cross multiply
    154,409.86x = 213,083.51 × 86,426.81
  4. Step 4: Simplify right side
    154,409.86x = 18,416,128,032.90
  5. Step 5: Solve for x
    x = 18,416,128,032.90/154,409.86
  6. Step 6: Final answer
    x = 119,267.83

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1.5x scale

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.