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Finding the Fourth Proportional to 76,503.51, 105,578.01 and 42,511.86

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Solution

The fourth proportional to 76,503.51, 105,578.01 and 42,511.86 is: 58,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,503.51 : 105,578.01 = 42,511.86 : x
  2. Step 2: Convert to fraction form
    76,503.51/105,578.01 = 42,511.86/x
  3. Step 3: Cross multiply
    76,503.51x = 105,578.01 × 42,511.86
  4. Step 4: Simplify right side
    76,503.51x = 4,488,317,580.20
  5. Step 5: Solve for x
    x = 4,488,317,580.20/76,503.51
  6. Step 6: Final answer
    x = 58,668.13

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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.