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Finding the Fourth Proportional to 292,157, 403,177.38 and 158,021

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Solution

The fourth proportional to 292,157, 403,177.38 and 158,021 is: 218,069.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,157 : 403,177.38 = 158,021 : x
  2. Step 2: Convert to fraction form
    292,157/403,177.38 = 158,021/x
  3. Step 3: Cross multiply
    292,157x = 403,177.38 × 158,021
  4. Step 4: Simplify right side
    292,157x = 63,710,492,764.98
  5. Step 5: Solve for x
    x = 63,710,492,764.98/292,157
  6. Step 6: Final answer
    x = 218,069.37

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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.