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Finding the Fourth Proportional to 65,284.80, 97,813.80 and 30,152.40

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Solution

The fourth proportional to 65,284.80, 97,813.80 and 30,152.40 is: 45,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,284.80 : 97,813.80 = 30,152.40 : x
  2. Step 2: Convert to fraction form
    65,284.80/97,813.80 = 30,152.40/x
  3. Step 3: Cross multiply
    65,284.80x = 97,813.80 × 30,152.40
  4. Step 4: Simplify right side
    65,284.80x = 2,949,320,823.12
  5. Step 5: Solve for x
    x = 2,949,320,823.12/65,284.80
  6. Step 6: Final answer
    x = 45,176.23

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1.5x scale

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.