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Finding the Fourth Proportional to 65,226.60, 97,782.30 and 38,903.40

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Solution

The fourth proportional to 65,226.60, 97,782.30 and 38,903.40 is: 58,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,226.60 : 97,782.30 = 38,903.40 : x
  2. Step 2: Convert to fraction form
    65,226.60/97,782.30 = 38,903.40/x
  3. Step 3: Cross multiply
    65,226.60x = 97,782.30 × 38,903.40
  4. Step 4: Simplify right side
    65,226.60x = 3,804,063,929.82
  5. Step 5: Solve for x
    x = 3,804,063,929.82/65,226.60
  6. Step 6: Final answer
    x = 58,320.75

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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.