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Finding the Fourth Proportional to 258,139.51, 356,283.53 and 164,945.67

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Solution

The fourth proportional to 258,139.51, 356,283.53 and 164,945.67 is: 227,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,139.51 : 356,283.53 = 164,945.67 : x
  2. Step 2: Convert to fraction form
    258,139.51/356,283.53 = 164,945.67/x
  3. Step 3: Cross multiply
    258,139.51x = 356,283.53 × 164,945.67
  4. Step 4: Simplify right side
    258,139.51x = 58,767,425,565.82
  5. Step 5: Solve for x
    x = 58,767,425,565.82/258,139.51
  6. Step 6: Final answer
    x = 227,657.62

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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.