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Finding the Fourth Proportional to 64,742.88, 89,352 and 37,894.08

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Solution

The fourth proportional to 64,742.88, 89,352 and 37,894.08 is: 52,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,742.88 : 89,352 = 37,894.08 : x
  2. Step 2: Convert to fraction form
    64,742.88/89,352 = 37,894.08/x
  3. Step 3: Cross multiply
    64,742.88x = 89,352 × 37,894.08
  4. Step 4: Simplify right side
    64,742.88x = 3,385,911,836.16
  5. Step 5: Solve for x
    x = 3,385,911,836.16/64,742.88
  6. Step 6: Final answer
    x = 52,297.83

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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.