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Finding the Fourth Proportional to 229,483.80, 316,635.89 and 138,837.51

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Solution

The fourth proportional to 229,483.80, 316,635.89 and 138,837.51 is: 191,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,483.80 : 316,635.89 = 138,837.51 : x
  2. Step 2: Convert to fraction form
    229,483.80/316,635.89 = 138,837.51/x
  3. Step 3: Cross multiply
    229,483.80x = 316,635.89 × 138,837.51
  4. Step 4: Simplify right side
    229,483.80x = 43,960,937,850.05
  5. Step 5: Solve for x
    x = 43,960,937,850.05/229,483.80
  6. Step 6: Final answer
    x = 191,564.45

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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.