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Finding the Fourth Proportional to 50,038.76, 69,051 and 27,378.20

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Solution

The fourth proportional to 50,038.76, 69,051 and 27,378.20 is: 37,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,038.76 : 69,051 = 27,378.20 : x
  2. Step 2: Convert to fraction form
    50,038.76/69,051 = 27,378.20/x
  3. Step 3: Cross multiply
    50,038.76x = 69,051 × 27,378.20
  4. Step 4: Simplify right side
    50,038.76x = 1,890,492,088.20
  5. Step 5: Solve for x
    x = 1,890,492,088.20/50,038.76
  6. Step 6: Final answer
    x = 37,780.55

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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.