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Finding the Fourth Proportional to 105,484.69, 145,569.03 and 57,741.06

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Solution

The fourth proportional to 105,484.69, 145,569.03 and 57,741.06 is: 79,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,484.69 : 145,569.03 = 57,741.06 : x
  2. Step 2: Convert to fraction form
    105,484.69/145,569.03 = 57,741.06/x
  3. Step 3: Cross multiply
    105,484.69x = 145,569.03 × 57,741.06
  4. Step 4: Simplify right side
    105,484.69x = 8,405,309,367.53
  5. Step 5: Solve for x
    x = 8,405,309,367.53/105,484.69
  6. Step 6: Final answer
    x = 79,682.74

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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.