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Finding the Fourth Proportional to 100,038.76, 149,892 and 70,394.38

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Solution

The fourth proportional to 100,038.76, 149,892 and 70,394.38 is: 105,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,038.76 : 149,892 = 70,394.38 : x
  2. Step 2: Convert to fraction form
    100,038.76/149,892 = 70,394.38/x
  3. Step 3: Cross multiply
    100,038.76x = 149,892 × 70,394.38
  4. Step 4: Simplify right side
    100,038.76x = 10,551,554,406.96
  5. Step 5: Solve for x
    x = 10,551,554,406.96/100,038.76
  6. Step 6: Final answer
    x = 105,474.66

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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.