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Finding the Fourth Proportional to 245,314.16, 368,114 and 103,149.14

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Solution

The fourth proportional to 245,314.16, 368,114 and 103,149.14 is: 154,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,314.16 : 368,114 = 103,149.14 : x
  2. Step 2: Convert to fraction form
    245,314.16/368,114 = 103,149.14/x
  3. Step 3: Cross multiply
    245,314.16x = 368,114 × 103,149.14
  4. Step 4: Simplify right side
    245,314.16x = 37,970,640,681.39
  5. Step 5: Solve for x
    x = 37,970,640,681.39/245,314.16
  6. Step 6: Final answer
    x = 154,783.73

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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.