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Finding the Fourth Proportional to 65,211.48, 97,802.64 and 30,132

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Solution

The fourth proportional to 65,211.48, 97,802.64 and 30,132 is: 45,191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,211.48 : 97,802.64 = 30,132 : x
  2. Step 2: Convert to fraction form
    65,211.48/97,802.64 = 30,132/x
  3. Step 3: Cross multiply
    65,211.48x = 97,802.64 × 30,132
  4. Step 4: Simplify right side
    65,211.48x = 2,946,989,148.48
  5. Step 5: Solve for x
    x = 2,946,989,148.48/65,211.48
  6. Step 6: Final answer
    x = 45,191.26

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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.