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Finding the Fourth Proportional to 180,203.12, 248,658.81 and 99,619.82

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Solution

The fourth proportional to 180,203.12, 248,658.81 and 99,619.82 is: 137,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,203.12 : 248,658.81 = 99,619.82 : x
  2. Step 2: Convert to fraction form
    180,203.12/248,658.81 = 99,619.82/x
  3. Step 3: Cross multiply
    180,203.12x = 248,658.81 × 99,619.82
  4. Step 4: Simplify right side
    180,203.12x = 24,771,345,893.61
  5. Step 5: Solve for x
    x = 24,771,345,893.61/180,203.12
  6. Step 6: Final answer
    x = 137,463.47

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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.