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Finding the Fourth Proportional to 65,002.40, 97,438.80 and 29,880.80

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Solution

The fourth proportional to 65,002.40, 97,438.80 and 29,880.80 is: 44,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,002.40 : 97,438.80 = 29,880.80 : x
  2. Step 2: Convert to fraction form
    65,002.40/97,438.80 = 29,880.80/x
  3. Step 3: Cross multiply
    65,002.40x = 97,438.80 × 29,880.80
  4. Step 4: Simplify right side
    65,002.40x = 2,911,549,295.04
  5. Step 5: Solve for x
    x = 2,911,549,295.04/65,002.40
  6. Step 6: Final answer
    x = 44,791.41

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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.