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Finding the Fourth Proportional to 30,146, 45,220.28 and 8,258

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Solution

The fourth proportional to 30,146, 45,220.28 and 8,258 is: 12,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146 : 45,220.28 = 8,258 : x
  2. Step 2: Convert to fraction form
    30,146/45,220.28 = 8,258/x
  3. Step 3: Cross multiply
    30,146x = 45,220.28 × 8,258
  4. Step 4: Simplify right side
    30,146x = 373,429,072.24
  5. Step 5: Solve for x
    x = 373,429,072.24/30,146
  6. Step 6: Final answer
    x = 12,387.35

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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.