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Finding the Fourth Proportional to 36,465, 54,700.20 and 14,276.40

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Solution

The fourth proportional to 36,465, 54,700.20 and 14,276.40 is: 21,415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,465 : 54,700.20 = 14,276.40 : x
  2. Step 2: Convert to fraction form
    36,465/54,700.20 = 14,276.40/x
  3. Step 3: Cross multiply
    36,465x = 54,700.20 × 14,276.40
  4. Step 4: Simplify right side
    36,465x = 780,921,935.28
  5. Step 5: Solve for x
    x = 780,921,935.28/36,465
  6. Step 6: Final answer
    x = 21,415.66

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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.