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Finding the Fourth Proportional to 155,969.75, 215,139.17 and 102,258.25

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Solution

The fourth proportional to 155,969.75, 215,139.17 and 102,258.25 is: 141,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,969.75 : 215,139.17 = 102,258.25 : x
  2. Step 2: Convert to fraction form
    155,969.75/215,139.17 = 102,258.25/x
  3. Step 3: Cross multiply
    155,969.75x = 215,139.17 × 102,258.25
  4. Step 4: Simplify right side
    155,969.75x = 21,999,754,748.45
  5. Step 5: Solve for x
    x = 21,999,754,748.45/155,969.75
  6. Step 6: Final answer
    x = 141,051.42

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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.