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Finding the Fourth Proportional to 65,318.20, 97,718.10 and 56,649.40

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Solution

The fourth proportional to 65,318.20, 97,718.10 and 56,649.40 is: 84,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,318.20 : 97,718.10 = 56,649.40 : x
  2. Step 2: Convert to fraction form
    65,318.20/97,718.10 = 56,649.40/x
  3. Step 3: Cross multiply
    65,318.20x = 97,718.10 × 56,649.40
  4. Step 4: Simplify right side
    65,318.20x = 5,535,671,734.14
  5. Step 5: Solve for x
    x = 5,535,671,734.14/65,318.20
  6. Step 6: Final answer
    x = 84,749.30

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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.