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Finding the Fourth Proportional to 145,827, 218,740.50 and 47,331

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Solution

The fourth proportional to 145,827, 218,740.50 and 47,331 is: 70,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,827 : 218,740.50 = 47,331 : x
  2. Step 2: Convert to fraction form
    145,827/218,740.50 = 47,331/x
  3. Step 3: Cross multiply
    145,827x = 218,740.50 × 47,331
  4. Step 4: Simplify right side
    145,827x = 10,353,206,605.50
  5. Step 5: Solve for x
    x = 10,353,206,605.50/145,827
  6. Step 6: Final answer
    x = 70,996.50

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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.