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Finding the Fourth Proportional to 102,669, 141,683.22 and 57,957

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Solution

The fourth proportional to 102,669, 141,683.22 and 57,957 is: 79,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,669 : 141,683.22 = 57,957 : x
  2. Step 2: Convert to fraction form
    102,669/141,683.22 = 57,957/x
  3. Step 3: Cross multiply
    102,669x = 141,683.22 × 57,957
  4. Step 4: Simplify right side
    102,669x = 8,211,534,381.54
  5. Step 5: Solve for x
    x = 8,211,534,381.54/102,669
  6. Step 6: Final answer
    x = 79,980.66

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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.