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Finding the Fourth Proportional to 65,574.68, 90,335 and 52,141.64

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Solution

The fourth proportional to 65,574.68, 90,335 and 52,141.64 is: 71,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,574.68 : 90,335 = 52,141.64 : x
  2. Step 2: Convert to fraction form
    65,574.68/90,335 = 52,141.64/x
  3. Step 3: Cross multiply
    65,574.68x = 90,335 × 52,141.64
  4. Step 4: Simplify right side
    65,574.68x = 4,710,215,049.40
  5. Step 5: Solve for x
    x = 4,710,215,049.40/65,574.68
  6. Step 6: Final answer
    x = 71,829.78

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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.