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Finding the Fourth Proportional to 65,261.70, 97,897.14 and 20,277

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Solution

The fourth proportional to 65,261.70, 97,897.14 and 20,277 is: 30,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,261.70 : 97,897.14 = 20,277 : x
  2. Step 2: Convert to fraction form
    65,261.70/97,897.14 = 20,277/x
  3. Step 3: Cross multiply
    65,261.70x = 97,897.14 × 20,277
  4. Step 4: Simplify right side
    65,261.70x = 1,985,060,307.78
  5. Step 5: Solve for x
    x = 1,985,060,307.78/65,261.70
  6. Step 6: Final answer
    x = 30,416.93

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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.