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Finding the Fourth Proportional to 65,890.48, 90,905.88 and 45,742

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Solution

The fourth proportional to 65,890.48, 90,905.88 and 45,742 is: 63,108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,890.48 : 90,905.88 = 45,742 : x
  2. Step 2: Convert to fraction form
    65,890.48/90,905.88 = 45,742/x
  3. Step 3: Cross multiply
    65,890.48x = 90,905.88 × 45,742
  4. Step 4: Simplify right side
    65,890.48x = 4,158,216,762.96
  5. Step 5: Solve for x
    x = 4,158,216,762.96/65,890.48
  6. Step 6: Final answer
    x = 63,108.01

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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.