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Finding the Fourth Proportional to 102,505.76, 153,779.39 and 43,341.33

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Solution

The fourth proportional to 102,505.76, 153,779.39 and 43,341.33 is: 65,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,505.76 : 153,779.39 = 43,341.33 : x
  2. Step 2: Convert to fraction form
    102,505.76/153,779.39 = 43,341.33/x
  3. Step 3: Cross multiply
    102,505.76x = 153,779.39 × 43,341.33
  4. Step 4: Simplify right side
    102,505.76x = 6,665,003,289.19
  5. Step 5: Solve for x
    x = 6,665,003,289.19/102,505.76
  6. Step 6: Final answer
    x = 65,020.77

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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.