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Finding the Fourth Proportional to 169,460.40, 233,664.48 and 138,738

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Solution

The fourth proportional to 169,460.40, 233,664.48 and 138,738 is: 191,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,460.40 : 233,664.48 = 138,738 : x
  2. Step 2: Convert to fraction form
    169,460.40/233,664.48 = 138,738/x
  3. Step 3: Cross multiply
    169,460.40x = 233,664.48 × 138,738
  4. Step 4: Simplify right side
    169,460.40x = 32,418,142,626.24
  5. Step 5: Solve for x
    x = 32,418,142,626.24/169,460.40
  6. Step 6: Final answer
    x = 191,302.17

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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.