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Finding the Fourth Proportional to 76,314, 105,319.80 and 42,786.48

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Solution

The fourth proportional to 76,314, 105,319.80 and 42,786.48 is: 59,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,314 : 105,319.80 = 42,786.48 : x
  2. Step 2: Convert to fraction form
    76,314/105,319.80 = 42,786.48/x
  3. Step 3: Cross multiply
    76,314x = 105,319.80 × 42,786.48
  4. Step 4: Simplify right side
    76,314x = 4,506,263,516.30
  5. Step 5: Solve for x
    x = 4,506,263,516.30/76,314
  6. Step 6: Final answer
    x = 59,048.98

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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.