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Finding the Fourth Proportional to 210,148.80, 314,949.60 and 85,344

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Solution

The fourth proportional to 210,148.80, 314,949.60 and 85,344 is: 127,904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,148.80 : 314,949.60 = 85,344 : x
  2. Step 2: Convert to fraction form
    210,148.80/314,949.60 = 85,344/x
  3. Step 3: Cross multiply
    210,148.80x = 314,949.60 × 85,344
  4. Step 4: Simplify right side
    210,148.80x = 26,879,058,662.40
  5. Step 5: Solve for x
    x = 26,879,058,662.40/210,148.80
  6. Step 6: Final answer
    x = 127,904.89

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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.