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Finding the Fourth Proportional to 55,665.84, 76,819.86 and 30,515.16

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Solution

The fourth proportional to 55,665.84, 76,819.86 and 30,515.16 is: 42,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,665.84 : 76,819.86 = 30,515.16 : x
  2. Step 2: Convert to fraction form
    55,665.84/76,819.86 = 30,515.16/x
  3. Step 3: Cross multiply
    55,665.84x = 76,819.86 × 30,515.16
  4. Step 4: Simplify right side
    55,665.84x = 2,344,170,319.08
  5. Step 5: Solve for x
    x = 2,344,170,319.08/55,665.84
  6. Step 6: Final answer
    x = 42,111.47

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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.