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Finding the Fourth Proportional to 76,562.47, 105,659.74 and 42,574.40

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Solution

The fourth proportional to 76,562.47, 105,659.74 and 42,574.40 is: 58,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,562.47 : 105,659.74 = 42,574.40 : x
  2. Step 2: Convert to fraction form
    76,562.47/105,659.74 = 42,574.40/x
  3. Step 3: Cross multiply
    76,562.47x = 105,659.74 × 42,574.40
  4. Step 4: Simplify right side
    76,562.47x = 4,498,400,034.66
  5. Step 5: Solve for x
    x = 4,498,400,034.66/76,562.47
  6. Step 6: Final answer
    x = 58,754.64

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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.