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Finding the Fourth Proportional to 47,620, 65,715.60 and 26,402.50

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Solution

The fourth proportional to 47,620, 65,715.60 and 26,402.50 is: 36,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,620 : 65,715.60 = 26,402.50 : x
  2. Step 2: Convert to fraction form
    47,620/65,715.60 = 26,402.50/x
  3. Step 3: Cross multiply
    47,620x = 65,715.60 × 26,402.50
  4. Step 4: Simplify right side
    47,620x = 1,735,056,129.00
  5. Step 5: Solve for x
    x = 1,735,056,129.00/47,620
  6. Step 6: Final answer
    x = 36,435.45

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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.