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Finding the Fourth Proportional to 128,233.77, 176,969.34 and 77,262.51

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Solution

The fourth proportional to 128,233.77, 176,969.34 and 77,262.51 is: 106,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,233.77 : 176,969.34 = 77,262.51 : x
  2. Step 2: Convert to fraction form
    128,233.77/176,969.34 = 77,262.51/x
  3. Step 3: Cross multiply
    128,233.77x = 176,969.34 × 77,262.51
  4. Step 4: Simplify right side
    128,233.77x = 13,673,095,401.44
  5. Step 5: Solve for x
    x = 13,673,095,401.44/128,233.77
  6. Step 6: Final answer
    x = 106,626.32

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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.