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Finding the Fourth Proportional to 292,148, 403,164.28 and 158,012

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Solution

The fourth proportional to 292,148, 403,164.28 and 158,012 is: 218,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,148 : 403,164.28 = 158,012 : x
  2. Step 2: Convert to fraction form
    292,148/403,164.28 = 158,012/x
  3. Step 3: Cross multiply
    292,148x = 403,164.28 × 158,012
  4. Step 4: Simplify right side
    292,148x = 63,704,794,211.36
  5. Step 5: Solve for x
    x = 63,704,794,211.36/292,148
  6. Step 6: Final answer
    x = 218,056.58

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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.