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Finding the Fourth Proportional to 128,454, 177,206.64 and 83,146.56

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Solution

The fourth proportional to 128,454, 177,206.64 and 83,146.56 is: 114,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,454 : 177,206.64 = 83,146.56 : x
  2. Step 2: Convert to fraction form
    128,454/177,206.64 = 83,146.56/x
  3. Step 3: Cross multiply
    128,454x = 177,206.64 × 83,146.56
  4. Step 4: Simplify right side
    128,454x = 14,734,122,525.16
  5. Step 5: Solve for x
    x = 14,734,122,525.16/128,454
  6. Step 6: Final answer
    x = 114,703.49

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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.