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Finding the Fourth Proportional to 129,045.48, 178,051.60 and 75,299.82

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Solution

The fourth proportional to 129,045.48, 178,051.60 and 75,299.82 is: 103,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,045.48 : 178,051.60 = 75,299.82 : x
  2. Step 2: Convert to fraction form
    129,045.48/178,051.60 = 75,299.82/x
  3. Step 3: Cross multiply
    129,045.48x = 178,051.60 × 75,299.82
  4. Step 4: Simplify right side
    129,045.48x = 13,407,253,430.71
  5. Step 5: Solve for x
    x = 13,407,253,430.71/129,045.48
  6. Step 6: Final answer
    x = 103,895.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.