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Finding the Fourth Proportional to 292,274.16, 438,147.96 and 105,154

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Solution

The fourth proportional to 292,274.16, 438,147.96 and 105,154 is: 157,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,274.16 : 438,147.96 = 105,154 : x
  2. Step 2: Convert to fraction form
    292,274.16/438,147.96 = 105,154/x
  3. Step 3: Cross multiply
    292,274.16x = 438,147.96 × 105,154
  4. Step 4: Simplify right side
    292,274.16x = 46,073,010,585.84
  5. Step 5: Solve for x
    x = 46,073,010,585.84/292,274.16
  6. Step 6: Final answer
    x = 157,636.28

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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.