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Finding the Fourth Proportional to 100,038.29, 149,890.83 and 70,393.83

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Solution

The fourth proportional to 100,038.29, 149,890.83 and 70,393.83 is: 105,473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,038.29 : 149,890.83 = 70,393.83 : x
  2. Step 2: Convert to fraction form
    100,038.29/149,890.83 = 70,393.83/x
  3. Step 3: Cross multiply
    100,038.29x = 149,890.83 × 70,393.83
  4. Step 4: Simplify right side
    100,038.29x = 10,551,390,242.20
  5. Step 5: Solve for x
    x = 10,551,390,242.20/100,038.29
  6. Step 6: Final answer
    x = 105,473.52

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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.