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Finding the Fourth Proportional to 102,586.16, 153,885.72 and 43,414.04

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Solution

The fourth proportional to 102,586.16, 153,885.72 and 43,414.04 is: 65,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,586.16 : 153,885.72 = 43,414.04 : x
  2. Step 2: Convert to fraction form
    102,586.16/153,885.72 = 43,414.04/x
  3. Step 3: Cross multiply
    102,586.16x = 153,885.72 × 43,414.04
  4. Step 4: Simplify right side
    102,586.16x = 6,680,800,803.51
  5. Step 5: Solve for x
    x = 6,680,800,803.51/102,586.16
  6. Step 6: Final answer
    x = 65,123.80

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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.