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Finding the Fourth Proportional to 65,222.69, 89,985.74 and 45,072.32

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Solution

The fourth proportional to 65,222.69, 89,985.74 and 45,072.32 is: 62,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222.69 : 89,985.74 = 45,072.32 : x
  2. Step 2: Convert to fraction form
    65,222.69/89,985.74 = 45,072.32/x
  3. Step 3: Cross multiply
    65,222.69x = 89,985.74 × 45,072.32
  4. Step 4: Simplify right side
    65,222.69x = 4,055,865,393.43
  5. Step 5: Solve for x
    x = 4,055,865,393.43/65,222.69
  6. Step 6: Final answer
    x = 62,184.89

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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.