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Finding the Fourth Proportional to 105,294.81, 157,918.93 and 30,398.67

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Solution

The fourth proportional to 105,294.81, 157,918.93 and 30,398.67 is: 45,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,294.81 : 157,918.93 = 30,398.67 : x
  2. Step 2: Convert to fraction form
    105,294.81/157,918.93 = 30,398.67/x
  3. Step 3: Cross multiply
    105,294.81x = 157,918.93 × 30,398.67
  4. Step 4: Simplify right side
    105,294.81x = 4,800,525,363.83
  5. Step 5: Solve for x
    x = 4,800,525,363.83/105,294.81
  6. Step 6: Final answer
    x = 45,591.28

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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.