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Finding the Fourth Proportional to 158,820.31, 219,172.40 and 87,204.93

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Solution

The fourth proportional to 158,820.31, 219,172.40 and 87,204.93 is: 120,343.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,820.31 : 219,172.40 = 87,204.93 : x
  2. Step 2: Convert to fraction form
    158,820.31/219,172.40 = 87,204.93/x
  3. Step 3: Cross multiply
    158,820.31x = 219,172.40 × 87,204.93
  4. Step 4: Simplify right side
    158,820.31x = 19,112,913,799.93
  5. Step 5: Solve for x
    x = 19,112,913,799.93/158,820.31
  6. Step 6: Final answer
    x = 120,343.01

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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.