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Finding the Fourth Proportional to 152,397, 210,301.38 and 84,413.70

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Solution

The fourth proportional to 152,397, 210,301.38 and 84,413.70 is: 116,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,397 : 210,301.38 = 84,413.70 : x
  2. Step 2: Convert to fraction form
    152,397/210,301.38 = 84,413.70/x
  3. Step 3: Cross multiply
    152,397x = 210,301.38 × 84,413.70
  4. Step 4: Simplify right side
    152,397x = 17,752,317,600.91
  5. Step 5: Solve for x
    x = 17,752,317,600.91/152,397
  6. Step 6: Final answer
    x = 116,487.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.