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Finding the Fourth Proportional to 76,348.39, 105,360.80 and 42,814.39

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Solution

The fourth proportional to 76,348.39, 105,360.80 and 42,814.39 is: 59,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,348.39 : 105,360.80 = 42,814.39 : x
  2. Step 2: Convert to fraction form
    76,348.39/105,360.80 = 42,814.39/x
  3. Step 3: Cross multiply
    76,348.39x = 105,360.80 × 42,814.39
  4. Step 4: Simplify right side
    76,348.39x = 4,510,958,381.91
  5. Step 5: Solve for x
    x = 4,510,958,381.91/76,348.39
  6. Step 6: Final answer
    x = 59,083.87

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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.