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Finding the Fourth Proportional to 76,399.11, 105,401.88 and 56,303.91

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Solution

The fourth proportional to 76,399.11, 105,401.88 and 56,303.91 is: 77,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,399.11 : 105,401.88 = 56,303.91 : x
  2. Step 2: Convert to fraction form
    76,399.11/105,401.88 = 56,303.91/x
  3. Step 3: Cross multiply
    76,399.11x = 105,401.88 × 56,303.91
  4. Step 4: Simplify right side
    76,399.11x = 5,934,537,965.35
  5. Step 5: Solve for x
    x = 5,934,537,965.35/76,399.11
  6. Step 6: Final answer
    x = 77,678.10

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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.