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Finding the Fourth Proportional to 103,206.34, 142,426.38 and 57,894.40

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Solution

The fourth proportional to 103,206.34, 142,426.38 and 57,894.40 is: 79,895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,206.34 : 142,426.38 = 57,894.40 : x
  2. Step 2: Convert to fraction form
    103,206.34/142,426.38 = 57,894.40/x
  3. Step 3: Cross multiply
    103,206.34x = 142,426.38 × 57,894.40
  4. Step 4: Simplify right side
    103,206.34x = 8,245,689,814.27
  5. Step 5: Solve for x
    x = 8,245,689,814.27/103,206.34
  6. Step 6: Final answer
    x = 79,895.19

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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.