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Finding the Fourth Proportional to 100,038.32, 149,890.87 and 70,393.87

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Solution

The fourth proportional to 100,038.32, 149,890.87 and 70,393.87 is: 105,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,038.32 : 149,890.87 = 70,393.87 : x
  2. Step 2: Convert to fraction form
    100,038.32/149,890.87 = 70,393.87/x
  3. Step 3: Cross multiply
    100,038.32x = 149,890.87 × 70,393.87
  4. Step 4: Simplify right side
    100,038.32x = 10,551,398,416.97
  5. Step 5: Solve for x
    x = 10,551,398,416.97/100,038.32
  6. Step 6: Final answer
    x = 105,473.57

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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.