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Finding the Fourth Proportional to 208,216.55, 287,338.48 and 112,723.22

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Solution

The fourth proportional to 208,216.55, 287,338.48 and 112,723.22 is: 155,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,216.55 : 287,338.48 = 112,723.22 : x
  2. Step 2: Convert to fraction form
    208,216.55/287,338.48 = 112,723.22/x
  3. Step 3: Cross multiply
    208,216.55x = 287,338.48 × 112,723.22
  4. Step 4: Simplify right side
    208,216.55x = 32,389,718,695.51
  5. Step 5: Solve for x
    x = 32,389,718,695.51/208,216.55
  6. Step 6: Final answer
    x = 155,557.85

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1.5x scale

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.