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Finding the Fourth Proportional to 97,661.40, 146,492.10 and 86,256.60

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Solution

The fourth proportional to 97,661.40, 146,492.10 and 86,256.60 is: 129,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,661.40 : 146,492.10 = 86,256.60 : x
  2. Step 2: Convert to fraction form
    97,661.40/146,492.10 = 86,256.60/x
  3. Step 3: Cross multiply
    97,661.40x = 146,492.10 × 86,256.60
  4. Step 4: Simplify right side
    97,661.40x = 12,635,910,472.86
  5. Step 5: Solve for x
    x = 12,635,910,472.86/97,661.40
  6. Step 6: Final answer
    x = 129,384.90

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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.