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Finding the Fourth Proportional to 100,038.93, 149,891.81 and 70,394.48

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Solution

The fourth proportional to 100,038.93, 149,891.81 and 70,394.48 is: 105,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,038.93 : 149,891.81 = 70,394.48 : x
  2. Step 2: Convert to fraction form
    100,038.93/149,891.81 = 70,394.48/x
  3. Step 3: Cross multiply
    100,038.93x = 149,891.81 × 70,394.48
  4. Step 4: Simplify right side
    100,038.93x = 10,551,556,043.97
  5. Step 5: Solve for x
    x = 10,551,556,043.97/100,038.93
  6. Step 6: Final answer
    x = 105,474.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.