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Finding the Fourth Proportional to 72,395.46, 99,904.77 and 40,564.98

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Solution

The fourth proportional to 72,395.46, 99,904.77 and 40,564.98 is: 55,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,395.46 : 99,904.77 = 40,564.98 : x
  2. Step 2: Convert to fraction form
    72,395.46/99,904.77 = 40,564.98/x
  3. Step 3: Cross multiply
    72,395.46x = 99,904.77 × 40,564.98
  4. Step 4: Simplify right side
    72,395.46x = 4,052,634,996.95
  5. Step 5: Solve for x
    x = 4,052,634,996.95/72,395.46
  6. Step 6: Final answer
    x = 55,979.13

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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.