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Finding the Fourth Proportional to 152,373.72, 210,262.16 and 84,389.45

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Solution

The fourth proportional to 152,373.72, 210,262.16 and 84,389.45 is: 116,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,373.72 : 210,262.16 = 84,389.45 : x
  2. Step 2: Convert to fraction form
    152,373.72/210,262.16 = 84,389.45/x
  3. Step 3: Cross multiply
    152,373.72x = 210,262.16 × 84,389.45
  4. Step 4: Simplify right side
    152,373.72x = 17,743,907,197.87
  5. Step 5: Solve for x
    x = 17,743,907,197.87/152,373.72
  6. Step 6: Final answer
    x = 116,449.92

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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.