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Finding the Fourth Proportional to 47,208.40, 70,823.02 and 15,628.30

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Solution

The fourth proportional to 47,208.40, 70,823.02 and 15,628.30 is: 23,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,208.40 : 70,823.02 = 15,628.30 : x
  2. Step 2: Convert to fraction form
    47,208.40/70,823.02 = 15,628.30/x
  3. Step 3: Cross multiply
    47,208.40x = 70,823.02 × 15,628.30
  4. Step 4: Simplify right side
    47,208.40x = 1,106,843,403.47
  5. Step 5: Solve for x
    x = 1,106,843,403.47/47,208.40
  6. Step 6: Final answer
    x = 23,445.90

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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.