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Finding the Fourth Proportional to 147,421, 221,131.50 and 48,925

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Solution

The fourth proportional to 147,421, 221,131.50 and 48,925 is: 73,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,421 : 221,131.50 = 48,925 : x
  2. Step 2: Convert to fraction form
    147,421/221,131.50 = 48,925/x
  3. Step 3: Cross multiply
    147,421x = 221,131.50 × 48,925
  4. Step 4: Simplify right side
    147,421x = 10,818,858,637.50
  5. Step 5: Solve for x
    x = 10,818,858,637.50/147,421
  6. Step 6: Final answer
    x = 73,387.50

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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.