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Finding the Fourth Proportional to 65,124.30, 89,866.74 and 36,440.16

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Solution

The fourth proportional to 65,124.30, 89,866.74 and 36,440.16 is: 50,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,124.30 : 89,866.74 = 36,440.16 : x
  2. Step 2: Convert to fraction form
    65,124.30/89,866.74 = 36,440.16/x
  3. Step 3: Cross multiply
    65,124.30x = 89,866.74 × 36,440.16
  4. Step 4: Simplify right side
    65,124.30x = 3,274,758,384.28
  5. Step 5: Solve for x
    x = 3,274,758,384.28/65,124.30
  6. Step 6: Final answer
    x = 50,284.74

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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.