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Finding the Fourth Proportional to 91,221.89, 136,824.48 and 64,681.74

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Solution

The fourth proportional to 91,221.89, 136,824.48 and 64,681.74 is: 97,016.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,221.89 : 136,824.48 = 64,681.74 : x
  2. Step 2: Convert to fraction form
    91,221.89/136,824.48 = 64,681.74/x
  3. Step 3: Cross multiply
    91,221.89x = 136,824.48 × 64,681.74
  4. Step 4: Simplify right side
    91,221.89x = 8,850,045,441.00
  5. Step 5: Solve for x
    x = 8,850,045,441.00/91,221.89
  6. Step 6: Final answer
    x = 97,016.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.