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Finding the Fourth Proportional to 158,646, 218,931.48 and 91,578

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Solution

The fourth proportional to 158,646, 218,931.48 and 91,578 is: 126,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,646 : 218,931.48 = 91,578 : x
  2. Step 2: Convert to fraction form
    158,646/218,931.48 = 91,578/x
  3. Step 3: Cross multiply
    158,646x = 218,931.48 × 91,578
  4. Step 4: Simplify right side
    158,646x = 20,049,307,075.44
  5. Step 5: Solve for x
    x = 20,049,307,075.44/158,646
  6. Step 6: Final answer
    x = 126,377.64

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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.