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Finding the Fourth Proportional to 25,513.76, 38,263.70 and 16,139.70

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Solution

The fourth proportional to 25,513.76, 38,263.70 and 16,139.70 is: 24,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,513.76 : 38,263.70 = 16,139.70 : x
  2. Step 2: Convert to fraction form
    25,513.76/38,263.70 = 16,139.70/x
  3. Step 3: Cross multiply
    25,513.76x = 38,263.70 × 16,139.70
  4. Step 4: Simplify right side
    25,513.76x = 617,564,638.89
  5. Step 5: Solve for x
    x = 617,564,638.89/25,513.76
  6. Step 6: Final answer
    x = 24,205.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.