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Finding the Fourth Proportional to 209,803.92, 314,980.28 and 124,570.38

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Solution

The fourth proportional to 209,803.92, 314,980.28 and 124,570.38 is: 187,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,803.92 : 314,980.28 = 124,570.38 : x
  2. Step 2: Convert to fraction form
    209,803.92/314,980.28 = 124,570.38/x
  3. Step 3: Cross multiply
    209,803.92x = 314,980.28 × 124,570.38
  4. Step 4: Simplify right side
    209,803.92x = 39,237,213,172.11
  5. Step 5: Solve for x
    x = 39,237,213,172.11/209,803.92
  6. Step 6: Final answer
    x = 187,018.49

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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.