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Finding the Fourth Proportional to 292,105.80, 403,105.86 and 157,969.80

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Solution

The fourth proportional to 292,105.80, 403,105.86 and 157,969.80 is: 217,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,105.80 : 403,105.86 = 157,969.80 : x
  2. Step 2: Convert to fraction form
    292,105.80/403,105.86 = 157,969.80/x
  3. Step 3: Cross multiply
    292,105.80x = 403,105.86 × 157,969.80
  4. Step 4: Simplify right side
    292,105.80x = 63,678,552,083.03
  5. Step 5: Solve for x
    x = 63,678,552,083.03/292,105.80
  6. Step 6: Final answer
    x = 217,998.25

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1.5x scale

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.