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Finding the Fourth Proportional to 64,971.48, 97,393.86 and 31,690.20

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Solution

The fourth proportional to 64,971.48, 97,393.86 and 31,690.20 is: 47,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,971.48 : 97,393.86 = 31,690.20 : x
  2. Step 2: Convert to fraction form
    64,971.48/97,393.86 = 31,690.20/x
  3. Step 3: Cross multiply
    64,971.48x = 97,393.86 × 31,690.20
  4. Step 4: Simplify right side
    64,971.48x = 3,086,430,902.17
  5. Step 5: Solve for x
    x = 3,086,430,902.17/64,971.48
  6. Step 6: Final answer
    x = 47,504.40

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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.