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Finding the Fourth Proportional to 47,393.71, 71,090.35 and 19,307.50

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Solution

The fourth proportional to 47,393.71, 71,090.35 and 19,307.50 is: 28,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,393.71 : 71,090.35 = 19,307.50 : x
  2. Step 2: Convert to fraction form
    47,393.71/71,090.35 = 19,307.50/x
  3. Step 3: Cross multiply
    47,393.71x = 71,090.35 × 19,307.50
  4. Step 4: Simplify right side
    47,393.71x = 1,372,576,706.63
  5. Step 5: Solve for x
    x = 1,372,576,706.63/47,393.71
  6. Step 6: Final answer
    x = 28,961.16

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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.