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Finding the Fourth Proportional to 47,700.16, 65,812.88 and 29,813.28

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Solution

The fourth proportional to 47,700.16, 65,812.88 and 29,813.28 is: 41,133.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,700.16 : 65,812.88 = 29,813.28 : x
  2. Step 2: Convert to fraction form
    47,700.16/65,812.88 = 29,813.28/x
  3. Step 3: Cross multiply
    47,700.16x = 65,812.88 × 29,813.28
  4. Step 4: Simplify right side
    47,700.16x = 1,962,097,819.05
  5. Step 5: Solve for x
    x = 1,962,097,819.05/47,700.16
  6. Step 6: Final answer
    x = 41,133.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.