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Finding the Fourth Proportional to 76,380.98, 105,457.14 and 58,443.93

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Solution

The fourth proportional to 76,380.98, 105,457.14 and 58,443.93 is: 80,691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,380.98 : 105,457.14 = 58,443.93 : x
  2. Step 2: Convert to fraction form
    76,380.98/105,457.14 = 58,443.93/x
  3. Step 3: Cross multiply
    76,380.98x = 105,457.14 × 58,443.93
  4. Step 4: Simplify right side
    76,380.98x = 6,163,329,708.16
  5. Step 5: Solve for x
    x = 6,163,329,708.16/76,380.98
  6. Step 6: Final answer
    x = 80,691.95

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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.