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Finding the Fourth Proportional to 194,964, 292,447.60 and 47,220

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Solution

The fourth proportional to 194,964, 292,447.60 and 47,220 is: 70,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,964 : 292,447.60 = 47,220 : x
  2. Step 2: Convert to fraction form
    194,964/292,447.60 = 47,220/x
  3. Step 3: Cross multiply
    194,964x = 292,447.60 × 47,220
  4. Step 4: Simplify right side
    194,964x = 13,809,375,672.00
  5. Step 5: Solve for x
    x = 13,809,375,672.00/194,964
  6. Step 6: Final answer
    x = 70,830.39

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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.