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Finding the Fourth Proportional to 268,090.76, 369,965.58 and 147,239.84

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Solution

The fourth proportional to 268,090.76, 369,965.58 and 147,239.84 is: 203,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,090.76 : 369,965.58 = 147,239.84 : x
  2. Step 2: Convert to fraction form
    268,090.76/369,965.58 = 147,239.84/x
  3. Step 3: Cross multiply
    268,090.76x = 369,965.58 × 147,239.84
  4. Step 4: Simplify right side
    268,090.76x = 54,473,672,804.71
  5. Step 5: Solve for x
    x = 54,473,672,804.71/268,090.76
  6. Step 6: Final answer
    x = 203,191.16

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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.