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Finding the Fourth Proportional to 64,070.32, 88,419 and 35,777.20

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Solution

The fourth proportional to 64,070.32, 88,419 and 35,777.20 is: 49,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,070.32 : 88,419 = 35,777.20 : x
  2. Step 2: Convert to fraction form
    64,070.32/88,419 = 35,777.20/x
  3. Step 3: Cross multiply
    64,070.32x = 88,419 × 35,777.20
  4. Step 4: Simplify right side
    64,070.32x = 3,163,384,246.80
  5. Step 5: Solve for x
    x = 3,163,384,246.80/64,070.32
  6. Step 6: Final answer
    x = 49,373.63

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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.