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Finding the Fourth Proportional to 65,264.40, 97,831.80 and 30,142.80

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Solution

The fourth proportional to 65,264.40, 97,831.80 and 30,142.80 is: 45,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,264.40 : 97,831.80 = 30,142.80 : x
  2. Step 2: Convert to fraction form
    65,264.40/97,831.80 = 30,142.80/x
  3. Step 3: Cross multiply
    65,264.40x = 97,831.80 × 30,142.80
  4. Step 4: Simplify right side
    65,264.40x = 2,948,924,381.04
  5. Step 5: Solve for x
    x = 2,948,924,381.04/65,264.40
  6. Step 6: Final answer
    x = 45,184.27

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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.