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Finding the Fourth Proportional to 301,782.42, 452,671.86 and 77,142.54

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Solution

The fourth proportional to 301,782.42, 452,671.86 and 77,142.54 is: 115,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,782.42 : 452,671.86 = 77,142.54 : x
  2. Step 2: Convert to fraction form
    301,782.42/452,671.86 = 77,142.54/x
  3. Step 3: Cross multiply
    301,782.42x = 452,671.86 × 77,142.54
  4. Step 4: Simplify right side
    301,782.42x = 34,920,257,066.92
  5. Step 5: Solve for x
    x = 34,920,257,066.92/301,782.42
  6. Step 6: Final answer
    x = 115,713.36

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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.