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Finding the Fourth Proportional to 55,803.76, 77,009.24 and 30,654.88

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Solution

The fourth proportional to 55,803.76, 77,009.24 and 30,654.88 is: 42,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,803.76 : 77,009.24 = 30,654.88 : x
  2. Step 2: Convert to fraction form
    55,803.76/77,009.24 = 30,654.88/x
  3. Step 3: Cross multiply
    55,803.76x = 77,009.24 × 30,654.88
  4. Step 4: Simplify right side
    55,803.76x = 2,360,709,011.09
  5. Step 5: Solve for x
    x = 2,360,709,011.09/55,803.76
  6. Step 6: Final answer
    x = 42,303.76

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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.