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Finding the Fourth Proportional to 140,542.40, 210,813.60 and 70,558.40

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Solution

The fourth proportional to 140,542.40, 210,813.60 and 70,558.40 is: 105,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,542.40 : 210,813.60 = 70,558.40 : x
  2. Step 2: Convert to fraction form
    140,542.40/210,813.60 = 70,558.40/x
  3. Step 3: Cross multiply
    140,542.40x = 210,813.60 × 70,558.40
  4. Step 4: Simplify right side
    140,542.40x = 14,874,670,314.24
  5. Step 5: Solve for x
    x = 14,874,670,314.24/140,542.40
  6. Step 6: Final answer
    x = 105,837.60

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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.