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Finding the Fourth Proportional to 105,059.80, 144,926.40 and 71,023.60

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Solution

The fourth proportional to 105,059.80, 144,926.40 and 71,023.60 is: 97,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,059.80 : 144,926.40 = 71,023.60 : x
  2. Step 2: Convert to fraction form
    105,059.80/144,926.40 = 71,023.60/x
  3. Step 3: Cross multiply
    105,059.80x = 144,926.40 × 71,023.60
  4. Step 4: Simplify right side
    105,059.80x = 10,293,194,663.04
  5. Step 5: Solve for x
    x = 10,293,194,663.04/105,059.80
  6. Step 6: Final answer
    x = 97,974.63

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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.