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Finding the Fourth Proportional to 76,318.75, 105,319.88 and 42,784.75

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Solution

The fourth proportional to 76,318.75, 105,319.88 and 42,784.75 is: 59,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,318.75 : 105,319.88 = 42,784.75 : x
  2. Step 2: Convert to fraction form
    76,318.75/105,319.88 = 42,784.75/x
  3. Step 3: Cross multiply
    76,318.75x = 105,319.88 × 42,784.75
  4. Step 4: Simplify right side
    76,318.75x = 4,506,084,735.83
  5. Step 5: Solve for x
    x = 4,506,084,735.83/76,318.75
  6. Step 6: Final answer
    x = 59,042.96

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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.