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Finding the Fourth Proportional to 208,243.60, 312,368.76 and 75,219.28

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Solution

The fourth proportional to 208,243.60, 312,368.76 and 75,219.28 is: 112,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,243.60 : 312,368.76 = 75,219.28 : x
  2. Step 2: Convert to fraction form
    208,243.60/312,368.76 = 75,219.28/x
  3. Step 3: Cross multiply
    208,243.60x = 312,368.76 × 75,219.28
  4. Step 4: Simplify right side
    208,243.60x = 23,496,153,221.69
  5. Step 5: Solve for x
    x = 23,496,153,221.69/208,243.60
  6. Step 6: Final answer
    x = 112,830.13

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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.