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Finding the Fourth Proportional to 128,322.93, 177,002.25 and 82,309.77

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Solution

The fourth proportional to 128,322.93, 177,002.25 and 82,309.77 is: 113,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,322.93 : 177,002.25 = 82,309.77 : x
  2. Step 2: Convert to fraction form
    128,322.93/177,002.25 = 82,309.77/x
  3. Step 3: Cross multiply
    128,322.93x = 177,002.25 × 82,309.77
  4. Step 4: Simplify right side
    128,322.93x = 14,569,014,178.32
  5. Step 5: Solve for x
    x = 14,569,014,178.32/128,322.93
  6. Step 6: Final answer
    x = 113,533.99

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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.