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Finding the Fourth Proportional to 52,145.64, 78,218.54 and 20,973.64

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Solution

The fourth proportional to 52,145.64, 78,218.54 and 20,973.64 is: 31,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,145.64 : 78,218.54 = 20,973.64 : x
  2. Step 2: Convert to fraction form
    52,145.64/78,218.54 = 20,973.64/x
  3. Step 3: Cross multiply
    52,145.64x = 78,218.54 × 20,973.64
  4. Step 4: Simplify right side
    52,145.64x = 1,640,527,499.29
  5. Step 5: Solve for x
    x = 1,640,527,499.29/52,145.64
  6. Step 6: Final answer
    x = 31,460.49

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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.