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Finding the Fourth Proportional to 65,114.80, 97,657.36 and 31,363.57

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Solution

The fourth proportional to 65,114.80, 97,657.36 and 31,363.57 is: 47,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.80 : 97,657.36 = 31,363.57 : x
  2. Step 2: Convert to fraction form
    65,114.80/97,657.36 = 31,363.57/x
  3. Step 3: Cross multiply
    65,114.80x = 97,657.36 × 31,363.57
  4. Step 4: Simplify right side
    65,114.80x = 3,062,883,490.04
  5. Step 5: Solve for x
    x = 3,062,883,490.04/65,114.80
  6. Step 6: Final answer
    x = 47,038.21

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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.