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Finding the Fourth Proportional to 102,554.64, 153,812.48 and 43,431.81

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Solution

The fourth proportional to 102,554.64, 153,812.48 and 43,431.81 is: 65,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,554.64 : 153,812.48 = 43,431.81 : x
  2. Step 2: Convert to fraction form
    102,554.64/153,812.48 = 43,431.81/x
  3. Step 3: Cross multiply
    102,554.64x = 153,812.48 × 43,431.81
  4. Step 4: Simplify right side
    102,554.64x = 6,680,354,189.83
  5. Step 5: Solve for x
    x = 6,680,354,189.83/102,554.64
  6. Step 6: Final answer
    x = 65,139.46

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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.