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Finding the Fourth Proportional to 100,053.60, 149,913.72 and 70,409.10

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Solution

The fourth proportional to 100,053.60, 149,913.72 and 70,409.10 is: 105,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,053.60 : 149,913.72 = 70,409.10 : x
  2. Step 2: Convert to fraction form
    100,053.60/149,913.72 = 70,409.10/x
  3. Step 3: Cross multiply
    100,053.60x = 149,913.72 × 70,409.10
  4. Step 4: Simplify right side
    100,053.60x = 10,555,290,102.85
  5. Step 5: Solve for x
    x = 10,555,290,102.85/100,053.60
  6. Step 6: Final answer
    x = 105,496.35

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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.