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Finding the Fourth Proportional to 76,318.38, 105,319.30 and 42,784.38

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Solution

The fourth proportional to 76,318.38, 105,319.30 and 42,784.38 is: 59,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,318.38 : 105,319.30 = 42,784.38 : x
  2. Step 2: Convert to fraction form
    76,318.38/105,319.30 = 42,784.38/x
  3. Step 3: Cross multiply
    76,318.38x = 105,319.30 × 42,784.38
  4. Step 4: Simplify right side
    76,318.38x = 4,506,020,952.53
  5. Step 5: Solve for x
    x = 4,506,020,952.53/76,318.38
  6. Step 6: Final answer
    x = 59,042.41

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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.