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Finding the Fourth Proportional to 187,564.68, 258,964.56 and 111,108.51

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Solution

The fourth proportional to 187,564.68, 258,964.56 and 111,108.51 is: 153,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,564.68 : 258,964.56 = 111,108.51 : x
  2. Step 2: Convert to fraction form
    187,564.68/258,964.56 = 111,108.51/x
  3. Step 3: Cross multiply
    187,564.68x = 258,964.56 × 111,108.51
  4. Step 4: Simplify right side
    187,564.68x = 28,773,166,404.41
  5. Step 5: Solve for x
    x = 28,773,166,404.41/187,564.68
  6. Step 6: Final answer
    x = 153,403.97

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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.