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Finding the Fourth Proportional to 79,303, 109,447.86 and 45,769

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Solution

The fourth proportional to 79,303, 109,447.86 and 45,769 is: 63,166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,303 : 109,447.86 = 45,769 : x
  2. Step 2: Convert to fraction form
    79,303/109,447.86 = 45,769/x
  3. Step 3: Cross multiply
    79,303x = 109,447.86 × 45,769
  4. Step 4: Simplify right side
    79,303x = 5,009,319,104.34
  5. Step 5: Solve for x
    x = 5,009,319,104.34/79,303
  6. Step 6: Final answer
    x = 63,166.83

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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.