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Finding the Fourth Proportional to 145,823, 218,734.50 and 47,327

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Solution

The fourth proportional to 145,823, 218,734.50 and 47,327 is: 70,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,823 : 218,734.50 = 47,327 : x
  2. Step 2: Convert to fraction form
    145,823/218,734.50 = 47,327/x
  3. Step 3: Cross multiply
    145,823x = 218,734.50 × 47,327
  4. Step 4: Simplify right side
    145,823x = 10,352,047,681.50
  5. Step 5: Solve for x
    x = 10,352,047,681.50/145,823
  6. Step 6: Final answer
    x = 70,990.50

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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.