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Finding the Fourth Proportional to 76,318.58, 105,318.96 and 42,784.58

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Solution

The fourth proportional to 76,318.58, 105,318.96 and 42,784.58 is: 59,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,318.58 : 105,318.96 = 42,784.58 : x
  2. Step 2: Convert to fraction form
    76,318.58/105,318.96 = 42,784.58/x
  3. Step 3: Cross multiply
    76,318.58x = 105,318.96 × 42,784.58
  4. Step 4: Simplify right side
    76,318.58x = 4,506,027,469.64
  5. Step 5: Solve for x
    x = 4,506,027,469.64/76,318.58
  6. Step 6: Final answer
    x = 59,042.34

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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.