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Finding the Fourth Proportional to 76,443.70, 105,498.93 and 42,458.74

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Solution

The fourth proportional to 76,443.70, 105,498.93 and 42,458.74 is: 58,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,443.70 : 105,498.93 = 42,458.74 : x
  2. Step 2: Convert to fraction form
    76,443.70/105,498.93 = 42,458.74/x
  3. Step 3: Cross multiply
    76,443.70x = 105,498.93 × 42,458.74
  4. Step 4: Simplify right side
    76,443.70x = 4,479,351,639.15
  5. Step 5: Solve for x
    x = 4,479,351,639.15/76,443.70
  6. Step 6: Final answer
    x = 58,596.74

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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.