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Finding the Fourth Proportional to 47,032, 70,548 and 14,200

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Solution

The fourth proportional to 47,032, 70,548 and 14,200 is: 21,300

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,032 : 70,548 = 14,200 : x
  2. Step 2: Convert to fraction form
    47,032/70,548 = 14,200/x
  3. Step 3: Cross multiply
    47,032x = 70,548 × 14,200
  4. Step 4: Simplify right side
    47,032x = 1,001,781,600
  5. Step 5: Solve for x
    x = 1,001,781,600/47,032
  6. Step 6: Final answer
    x = 21,300

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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.