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Finding the Fourth Proportional to 72,054, 99,434.16 and 40,221

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Solution

The fourth proportional to 72,054, 99,434.16 and 40,221 is: 55,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,054 : 99,434.16 = 40,221 : x
  2. Step 2: Convert to fraction form
    72,054/99,434.16 = 40,221/x
  3. Step 3: Cross multiply
    72,054x = 99,434.16 × 40,221
  4. Step 4: Simplify right side
    72,054x = 3,999,341,349.36
  5. Step 5: Solve for x
    x = 3,999,341,349.36/72,054
  6. Step 6: Final answer
    x = 55,504.78

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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.