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Finding the Fourth Proportional to 65,478.64, 90,361.14 and 37,184.92

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Solution

The fourth proportional to 65,478.64, 90,361.14 and 37,184.92 is: 51,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,478.64 : 90,361.14 = 37,184.92 : x
  2. Step 2: Convert to fraction form
    65,478.64/90,361.14 = 37,184.92/x
  3. Step 3: Cross multiply
    65,478.64x = 90,361.14 × 37,184.92
  4. Step 4: Simplify right side
    65,478.64x = 3,360,071,762.01
  5. Step 5: Solve for x
    x = 3,360,071,762.01/65,478.64
  6. Step 6: Final answer
    x = 51,315.54

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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.