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Finding the Fourth Proportional to 102,684.96, 141,703.52 and 57,363.68

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Solution

The fourth proportional to 102,684.96, 141,703.52 and 57,363.68 is: 79,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,684.96 : 141,703.52 = 57,363.68 : x
  2. Step 2: Convert to fraction form
    102,684.96/141,703.52 = 57,363.68/x
  3. Step 3: Cross multiply
    102,684.96x = 141,703.52 × 57,363.68
  4. Step 4: Simplify right side
    102,684.96x = 8,128,635,376.15
  5. Step 5: Solve for x
    x = 8,128,635,376.15/102,684.96
  6. Step 6: Final answer
    x = 79,160.91

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1.5x scale

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.