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Finding the Fourth Proportional to 210,155.80, 314,960.10 and 85,351

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Solution

The fourth proportional to 210,155.80, 314,960.10 and 85,351 is: 127,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,155.80 : 314,960.10 = 85,351 : x
  2. Step 2: Convert to fraction form
    210,155.80/314,960.10 = 85,351/x
  3. Step 3: Cross multiply
    210,155.80x = 314,960.10 × 85,351
  4. Step 4: Simplify right side
    210,155.80x = 26,882,159,495.10
  5. Step 5: Solve for x
    x = 26,882,159,495.10/210,155.80
  6. Step 6: Final answer
    x = 127,915.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.