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Finding the Fourth Proportional to 65,782.32, 90,672.93 and 51,416.79

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Solution

The fourth proportional to 65,782.32, 90,672.93 and 51,416.79 is: 70,871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,782.32 : 90,672.93 = 51,416.79 : x
  2. Step 2: Convert to fraction form
    65,782.32/90,672.93 = 51,416.79/x
  3. Step 3: Cross multiply
    65,782.32x = 90,672.93 × 51,416.79
  4. Step 4: Simplify right side
    65,782.32x = 4,662,111,000.49
  5. Step 5: Solve for x
    x = 4,662,111,000.49/65,782.32
  6. Step 6: Final answer
    x = 70,871.79

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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.