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Finding the Fourth Proportional to 132,810.60, 199,215.90 and 97,381.20

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Solution

The fourth proportional to 132,810.60, 199,215.90 and 97,381.20 is: 146,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,810.60 : 199,215.90 = 97,381.20 : x
  2. Step 2: Convert to fraction form
    132,810.60/199,215.90 = 97,381.20/x
  3. Step 3: Cross multiply
    132,810.60x = 199,215.90 × 97,381.20
  4. Step 4: Simplify right side
    132,810.60x = 19,399,883,401.08
  5. Step 5: Solve for x
    x = 19,399,883,401.08/132,810.60
  6. Step 6: Final answer
    x = 146,071.80

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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.