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Finding the Fourth Proportional to 211,553.72, 317,413.56 and 93,142

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Solution

The fourth proportional to 211,553.72, 317,413.56 and 93,142 is: 139,749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,553.72 : 317,413.56 = 93,142 : x
  2. Step 2: Convert to fraction form
    211,553.72/317,413.56 = 93,142/x
  3. Step 3: Cross multiply
    211,553.72x = 317,413.56 × 93,142
  4. Step 4: Simplify right side
    211,553.72x = 29,564,533,805.52
  5. Step 5: Solve for x
    x = 29,564,533,805.52/211,553.72
  6. Step 6: Final answer
    x = 139,749.53

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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.