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Finding the Fourth Proportional to 152,438.98, 210,372.09 and 85,371.46

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Solution

The fourth proportional to 152,438.98, 210,372.09 and 85,371.46 is: 117,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,438.98 : 210,372.09 = 85,371.46 : x
  2. Step 2: Convert to fraction form
    152,438.98/210,372.09 = 85,371.46/x
  3. Step 3: Cross multiply
    152,438.98x = 210,372.09 × 85,371.46
  4. Step 4: Simplify right side
    152,438.98x = 17,959,772,466.55
  5. Step 5: Solve for x
    x = 17,959,772,466.55/152,438.98
  6. Step 6: Final answer
    x = 117,816.14

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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.