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Finding the Fourth Proportional to 75,138.58, 112,729.02 and 37,653.40

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Solution

The fourth proportional to 75,138.58, 112,729.02 and 37,653.40 is: 56,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,138.58 : 112,729.02 = 37,653.40 : x
  2. Step 2: Convert to fraction form
    75,138.58/112,729.02 = 37,653.40/x
  3. Step 3: Cross multiply
    75,138.58x = 112,729.02 × 37,653.40
  4. Step 4: Simplify right side
    75,138.58x = 4,244,630,881.67
  5. Step 5: Solve for x
    x = 4,244,630,881.67/75,138.58
  6. Step 6: Final answer
    x = 56,490.70

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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.