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Finding the Fourth Proportional to 100,386.72, 150,482.16 and 47,782.08

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Solution

The fourth proportional to 100,386.72, 150,482.16 and 47,782.08 is: 71,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,386.72 : 150,482.16 = 47,782.08 : x
  2. Step 2: Convert to fraction form
    100,386.72/150,482.16 = 47,782.08/x
  3. Step 3: Cross multiply
    100,386.72x = 150,482.16 × 47,782.08
  4. Step 4: Simplify right side
    100,386.72x = 7,190,350,607.69
  5. Step 5: Solve for x
    x = 7,190,350,607.69/100,386.72
  6. Step 6: Final answer
    x = 71,626.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.