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Finding the Fourth Proportional to 65,304.60, 97,956.48 and 31,531.20

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Solution

The fourth proportional to 65,304.60, 97,956.48 and 31,531.20 is: 47,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,304.60 : 97,956.48 = 31,531.20 : x
  2. Step 2: Convert to fraction form
    65,304.60/97,956.48 = 31,531.20/x
  3. Step 3: Cross multiply
    65,304.60x = 97,956.48 × 31,531.20
  4. Step 4: Simplify right side
    65,304.60x = 3,088,685,362.18
  5. Step 5: Solve for x
    x = 3,088,685,362.18/65,304.60
  6. Step 6: Final answer
    x = 47,296.60

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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.