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Finding the Fourth Proportional to 147,985.40, 221,978.10 and 54,527.60

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Solution

The fourth proportional to 147,985.40, 221,978.10 and 54,527.60 is: 81,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,985.40 : 221,978.10 = 54,527.60 : x
  2. Step 2: Convert to fraction form
    147,985.40/221,978.10 = 54,527.60/x
  3. Step 3: Cross multiply
    147,985.40x = 221,978.10 × 54,527.60
  4. Step 4: Simplify right side
    147,985.40x = 12,103,933,045.56
  5. Step 5: Solve for x
    x = 12,103,933,045.56/147,985.40
  6. Step 6: Final answer
    x = 81,791.40

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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.