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Finding the Fourth Proportional to 65,398.20, 97,838.10 and 56,729.40

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Solution

The fourth proportional to 65,398.20, 97,838.10 and 56,729.40 is: 84,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,398.20 : 97,838.10 = 56,729.40 : x
  2. Step 2: Convert to fraction form
    65,398.20/97,838.10 = 56,729.40/x
  3. Step 3: Cross multiply
    65,398.20x = 97,838.10 × 56,729.40
  4. Step 4: Simplify right side
    65,398.20x = 5,550,296,710.14
  5. Step 5: Solve for x
    x = 5,550,296,710.14/65,398.20
  6. Step 6: Final answer
    x = 84,869.26

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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.