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Finding the Fourth Proportional to 209,813.60, 314,751.68 and 74,867.16

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Solution

The fourth proportional to 209,813.60, 314,751.68 and 74,867.16 is: 112,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,813.60 : 314,751.68 = 74,867.16 : x
  2. Step 2: Convert to fraction form
    209,813.60/314,751.68 = 74,867.16/x
  3. Step 3: Cross multiply
    209,813.60x = 314,751.68 × 74,867.16
  4. Step 4: Simplify right side
    209,813.60x = 23,564,562,813.07
  5. Step 5: Solve for x
    x = 23,564,562,813.07/209,813.60
  6. Step 6: Final answer
    x = 112,311.89

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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.