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Finding the Fourth Proportional to 47,257, 70,885.50 and 19,555.72

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Solution

The fourth proportional to 47,257, 70,885.50 and 19,555.72 is: 29,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,257 : 70,885.50 = 19,555.72 : x
  2. Step 2: Convert to fraction form
    47,257/70,885.50 = 19,555.72/x
  3. Step 3: Cross multiply
    47,257x = 70,885.50 × 19,555.72
  4. Step 4: Simplify right side
    47,257x = 1,386,216,990.06
  5. Step 5: Solve for x
    x = 1,386,216,990.06/47,257
  6. Step 6: Final answer
    x = 29,333.58

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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.