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Finding the Fourth Proportional to 47,249, 70,873.50 and 19,547.72

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Solution

The fourth proportional to 47,249, 70,873.50 and 19,547.72 is: 29,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,249 : 70,873.50 = 19,547.72 : x
  2. Step 2: Convert to fraction form
    47,249/70,873.50 = 19,547.72/x
  3. Step 3: Cross multiply
    47,249x = 70,873.50 × 19,547.72
  4. Step 4: Simplify right side
    47,249x = 1,385,415,333.42
  5. Step 5: Solve for x
    x = 1,385,415,333.42/47,249
  6. Step 6: Final answer
    x = 29,321.58

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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.