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Finding the Fourth Proportional to 47,112, 70,668.12 and 14,280

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Solution

The fourth proportional to 47,112, 70,668.12 and 14,280 is: 21,420.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,112 : 70,668.12 = 14,280 : x
  2. Step 2: Convert to fraction form
    47,112/70,668.12 = 14,280/x
  3. Step 3: Cross multiply
    47,112x = 70,668.12 × 14,280
  4. Step 4: Simplify right side
    47,112x = 1,009,140,753.60
  5. Step 5: Solve for x
    x = 1,009,140,753.60/47,112
  6. Step 6: Final answer
    x = 21,420.04

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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.