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Finding the Fourth Proportional to 152,297.76, 210,266.16 and 97,872

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Solution

The fourth proportional to 152,297.76, 210,266.16 and 97,872 is: 135,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,297.76 : 210,266.16 = 97,872 : x
  2. Step 2: Convert to fraction form
    152,297.76/210,266.16 = 97,872/x
  3. Step 3: Cross multiply
    152,297.76x = 210,266.16 × 97,872
  4. Step 4: Simplify right side
    152,297.76x = 20,579,169,611.52
  5. Step 5: Solve for x
    x = 20,579,169,611.52/152,297.76
  6. Step 6: Final answer
    x = 135,124.57

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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.