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Finding the Fourth Proportional to 75,652.72, 104,303.16 and 61,989.95

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Solution

The fourth proportional to 75,652.72, 104,303.16 and 61,989.95 is: 85,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,652.72 : 104,303.16 = 61,989.95 : x
  2. Step 2: Convert to fraction form
    75,652.72/104,303.16 = 61,989.95/x
  3. Step 3: Cross multiply
    75,652.72x = 104,303.16 × 61,989.95
  4. Step 4: Simplify right side
    75,652.72x = 6,465,747,934.00
  5. Step 5: Solve for x
    x = 6,465,747,934.00/75,652.72
  6. Step 6: Final answer
    x = 85,466.17

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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.