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Finding the Fourth Proportional to 152,396, 210,257.88 and 98,722.16

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Solution

The fourth proportional to 152,396, 210,257.88 and 98,722.16 is: 136,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,396 : 210,257.88 = 98,722.16 : x
  2. Step 2: Convert to fraction form
    152,396/210,257.88 = 98,722.16/x
  3. Step 3: Cross multiply
    152,396x = 210,257.88 × 98,722.16
  4. Step 4: Simplify right side
    152,396x = 20,757,112,070.62
  5. Step 5: Solve for x
    x = 20,757,112,070.62/152,396
  6. Step 6: Final answer
    x = 136,205.10

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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.