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Finding the Fourth Proportional to 229,529.30, 316,698.54 and 138,883.01

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Solution

The fourth proportional to 229,529.30, 316,698.54 and 138,883.01 is: 191,627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,529.30 : 316,698.54 = 138,883.01 : x
  2. Step 2: Convert to fraction form
    229,529.30/316,698.54 = 138,883.01/x
  3. Step 3: Cross multiply
    229,529.30x = 316,698.54 × 138,883.01
  4. Step 4: Simplify right side
    229,529.30x = 43,984,046,497.81
  5. Step 5: Solve for x
    x = 43,984,046,497.81/229,529.30
  6. Step 6: Final answer
    x = 191,627.15

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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.