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Finding the Fourth Proportional to 97,686.80, 146,141.40 and 84,683.60

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Solution

The fourth proportional to 97,686.80, 146,141.40 and 84,683.60 is: 126,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,686.80 : 146,141.40 = 84,683.60 : x
  2. Step 2: Convert to fraction form
    97,686.80/146,141.40 = 84,683.60/x
  3. Step 3: Cross multiply
    97,686.80x = 146,141.40 × 84,683.60
  4. Step 4: Simplify right side
    97,686.80x = 12,375,779,861.04
  5. Step 5: Solve for x
    x = 12,375,779,861.04/97,686.80
  6. Step 6: Final answer
    x = 126,688.35

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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.