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Finding the Fourth Proportional to 152,058.11, 209,821.87 and 84,065.90

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Solution

The fourth proportional to 152,058.11, 209,821.87 and 84,065.90 is: 116,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,058.11 : 209,821.87 = 84,065.90 : x
  2. Step 2: Convert to fraction form
    152,058.11/209,821.87 = 84,065.90/x
  3. Step 3: Cross multiply
    152,058.11x = 209,821.87 × 84,065.90
  4. Step 4: Simplify right side
    152,058.11x = 17,638,863,081.96
  5. Step 5: Solve for x
    x = 17,638,863,081.96/152,058.11
  6. Step 6: Final answer
    x = 116,000.81

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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.