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Finding the Fourth Proportional to 157,994.06, 218,031.78 and 86,374.06

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Solution

The fourth proportional to 157,994.06, 218,031.78 and 86,374.06 is: 119,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,994.06 : 218,031.78 = 86,374.06 : x
  2. Step 2: Convert to fraction form
    157,994.06/218,031.78 = 86,374.06/x
  3. Step 3: Cross multiply
    157,994.06x = 218,031.78 × 86,374.06
  4. Step 4: Simplify right side
    157,994.06x = 18,832,290,047.63
  5. Step 5: Solve for x
    x = 18,832,290,047.63/157,994.06
  6. Step 6: Final answer
    x = 119,196.19

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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.