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Finding the Fourth Proportional to 30,881.12, 46,328.16 and 10,103

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Solution

The fourth proportional to 30,881.12, 46,328.16 and 10,103 is: 15,156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.12 : 46,328.16 = 10,103 : x
  2. Step 2: Convert to fraction form
    30,881.12/46,328.16 = 10,103/x
  3. Step 3: Cross multiply
    30,881.12x = 46,328.16 × 10,103
  4. Step 4: Simplify right side
    30,881.12x = 468,053,400.48
  5. Step 5: Solve for x
    x = 468,053,400.48/30,881.12
  6. Step 6: Final answer
    x = 15,156.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.