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Finding the Fourth Proportional to 100,032.93, 149,882.81 and 70,388.48

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Solution

The fourth proportional to 100,032.93, 149,882.81 and 70,388.48 is: 105,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,032.93 : 149,882.81 = 70,388.48 : x
  2. Step 2: Convert to fraction form
    100,032.93/149,882.81 = 70,388.48/x
  3. Step 3: Cross multiply
    100,032.93x = 149,882.81 × 70,388.48
  4. Step 4: Simplify right side
    100,032.93x = 10,550,023,196.79
  5. Step 5: Solve for x
    x = 10,550,023,196.79/100,032.93
  6. Step 6: Final answer
    x = 105,465.50

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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.