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Finding the Fourth Proportional to 65,196.34, 89,967.82 and 40,040.98

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Solution

The fourth proportional to 65,196.34, 89,967.82 and 40,040.98 is: 55,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196.34 : 89,967.82 = 40,040.98 : x
  2. Step 2: Convert to fraction form
    65,196.34/89,967.82 = 40,040.98/x
  3. Step 3: Cross multiply
    65,196.34x = 89,967.82 × 40,040.98
  4. Step 4: Simplify right side
    65,196.34x = 3,602,399,681.26
  5. Step 5: Solve for x
    x = 3,602,399,681.26/65,196.34
  6. Step 6: Final answer
    x = 55,254.63

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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.