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Finding the Fourth Proportional to 70,580.40, 105,784.20 and 31,095.60

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Solution

The fourth proportional to 70,580.40, 105,784.20 and 31,095.60 is: 46,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,580.40 : 105,784.20 = 31,095.60 : x
  2. Step 2: Convert to fraction form
    70,580.40/105,784.20 = 31,095.60/x
  3. Step 3: Cross multiply
    70,580.40x = 105,784.20 × 31,095.60
  4. Step 4: Simplify right side
    70,580.40x = 3,289,423,169.52
  5. Step 5: Solve for x
    x = 3,289,423,169.52/70,580.40
  6. Step 6: Final answer
    x = 46,605.33

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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.