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Finding the Fourth Proportional to 128,912.34, 177,859.14 and 75,159.30

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Solution

The fourth proportional to 128,912.34, 177,859.14 and 75,159.30 is: 103,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,912.34 : 177,859.14 = 75,159.30 : x
  2. Step 2: Convert to fraction form
    128,912.34/177,859.14 = 75,159.30/x
  3. Step 3: Cross multiply
    128,912.34x = 177,859.14 × 75,159.30
  4. Step 4: Simplify right side
    128,912.34x = 13,367,768,461.00
  5. Step 5: Solve for x
    x = 13,367,768,461.00/128,912.34
  6. Step 6: Final answer
    x = 103,696.58

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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.