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Finding the Fourth Proportional to 229,014, 316,039.32 and 128,412

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Solution

The fourth proportional to 229,014, 316,039.32 and 128,412 is: 177,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,014 : 316,039.32 = 128,412 : x
  2. Step 2: Convert to fraction form
    229,014/316,039.32 = 128,412/x
  3. Step 3: Cross multiply
    229,014x = 316,039.32 × 128,412
  4. Step 4: Simplify right side
    229,014x = 40,583,241,159.84
  5. Step 5: Solve for x
    x = 40,583,241,159.84/229,014
  6. Step 6: Final answer
    x = 177,208.56

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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.