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Finding the Fourth Proportional to 52,025.40, 77,922.90 and 42,809.40

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Solution

The fourth proportional to 52,025.40, 77,922.90 and 42,809.40 is: 64,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,025.40 : 77,922.90 = 42,809.40 : x
  2. Step 2: Convert to fraction form
    52,025.40/77,922.90 = 42,809.40/x
  3. Step 3: Cross multiply
    52,025.40x = 77,922.90 × 42,809.40
  4. Step 4: Simplify right side
    52,025.40x = 3,335,832,595.26
  5. Step 5: Solve for x
    x = 3,335,832,595.26/52,025.40
  6. Step 6: Final answer
    x = 64,119.31

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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.