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Finding the Fourth Proportional to 51,774.91, 77,548.54 and 42,788.40

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Solution

The fourth proportional to 51,774.91, 77,548.54 and 42,788.40 is: 64,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,774.91 : 77,548.54 = 42,788.40 : x
  2. Step 2: Convert to fraction form
    51,774.91/77,548.54 = 42,788.40/x
  3. Step 3: Cross multiply
    51,774.91x = 77,548.54 × 42,788.40
  4. Step 4: Simplify right side
    51,774.91x = 3,318,178,067.60
  5. Step 5: Solve for x
    x = 3,318,178,067.60/51,774.91
  6. Step 6: Final answer
    x = 64,088.53

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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.