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Finding the Fourth Proportional to 30,101.14, 45,148.12 and 7,916.24

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Solution

The fourth proportional to 30,101.14, 45,148.12 and 7,916.24 is: 11,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,101.14 : 45,148.12 = 7,916.24 : x
  2. Step 2: Convert to fraction form
    30,101.14/45,148.12 = 7,916.24/x
  3. Step 3: Cross multiply
    30,101.14x = 45,148.12 × 7,916.24
  4. Step 4: Simplify right side
    30,101.14x = 357,403,446.55
  5. Step 5: Solve for x
    x = 357,403,446.55/30,101.14
  6. Step 6: Final answer
    x = 11,873.42

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1.5x scale

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.