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Finding the Fourth Proportional to 65,030.94, 97,518.87 and 20,645.78

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Solution

The fourth proportional to 65,030.94, 97,518.87 and 20,645.78 is: 30,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,030.94 : 97,518.87 = 20,645.78 : x
  2. Step 2: Convert to fraction form
    65,030.94/97,518.87 = 20,645.78/x
  3. Step 3: Cross multiply
    65,030.94x = 97,518.87 × 20,645.78
  4. Step 4: Simplify right side
    65,030.94x = 2,013,352,648.27
  5. Step 5: Solve for x
    x = 2,013,352,648.27/65,030.94
  6. Step 6: Final answer
    x = 30,959.92

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Why These Related Problems?

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