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Finding the Fourth Proportional to 65,411.70, 97,858.35 and 56,742.90

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Solution

The fourth proportional to 65,411.70, 97,858.35 and 56,742.90 is: 84,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,411.70 : 97,858.35 = 56,742.90 : x
  2. Step 2: Convert to fraction form
    65,411.70/97,858.35 = 56,742.90/x
  3. Step 3: Cross multiply
    65,411.70x = 97,858.35 × 56,742.90
  4. Step 4: Simplify right side
    65,411.70x = 5,552,766,568.22
  5. Step 5: Solve for x
    x = 5,552,766,568.22/65,411.70
  6. Step 6: Final answer
    x = 84,889.50

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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.