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Finding the Fourth Proportional to 56,004, 77,285.52 and 30,854.04

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Solution

The fourth proportional to 56,004, 77,285.52 and 30,854.04 is: 42,578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,004 : 77,285.52 = 30,854.04 : x
  2. Step 2: Convert to fraction form
    56,004/77,285.52 = 30,854.04/x
  3. Step 3: Cross multiply
    56,004x = 77,285.52 × 30,854.04
  4. Step 4: Simplify right side
    56,004x = 2,384,570,525.50
  5. Step 5: Solve for x
    x = 2,384,570,525.50/56,004
  6. Step 6: Final answer
    x = 42,578.58

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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.