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Finding the Fourth Proportional to 158,958.40, 219,362.16 and 87,340

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Solution

The fourth proportional to 158,958.40, 219,362.16 and 87,340 is: 120,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,958.40 : 219,362.16 = 87,340 : x
  2. Step 2: Convert to fraction form
    158,958.40/219,362.16 = 87,340/x
  3. Step 3: Cross multiply
    158,958.40x = 219,362.16 × 87,340
  4. Step 4: Simplify right side
    158,958.40x = 19,159,091,054.40
  5. Step 5: Solve for x
    x = 19,159,091,054.40/158,958.40
  6. Step 6: Final answer
    x = 120,528.96

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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.