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Finding the Fourth Proportional to 209,813.10, 314,750.93 and 74,866.65

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Solution

The fourth proportional to 209,813.10, 314,750.93 and 74,866.65 is: 112,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,813.10 : 314,750.93 = 74,866.65 : x
  2. Step 2: Convert to fraction form
    209,813.10/314,750.93 = 74,866.65/x
  3. Step 3: Cross multiply
    209,813.10x = 314,750.93 × 74,866.65
  4. Step 4: Simplify right side
    209,813.10x = 23,564,349,235.67
  5. Step 5: Solve for x
    x = 23,564,349,235.67/209,813.10
  6. Step 6: Final answer
    x = 112,311.14

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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.