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Finding the Fourth Proportional to 229,309.48, 316,476.21 and 138,666.07

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Solution

The fourth proportional to 229,309.48, 316,476.21 and 138,666.07 is: 191,376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,309.48 : 316,476.21 = 138,666.07 : x
  2. Step 2: Convert to fraction form
    229,309.48/316,476.21 = 138,666.07/x
  3. Step 3: Cross multiply
    229,309.48x = 316,476.21 × 138,666.07
  4. Step 4: Simplify right side
    229,309.48x = 43,884,510,706.81
  5. Step 5: Solve for x
    x = 43,884,510,706.81/229,309.48
  6. Step 6: Final answer
    x = 191,376.79

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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.