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Finding the Fourth Proportional to 86,457.30, 119,333.82 and 56,325.30

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Solution

The fourth proportional to 86,457.30, 119,333.82 and 56,325.30 is: 77,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,457.30 : 119,333.82 = 56,325.30 : x
  2. Step 2: Convert to fraction form
    86,457.30/119,333.82 = 56,325.30/x
  3. Step 3: Cross multiply
    86,457.30x = 119,333.82 × 56,325.30
  4. Step 4: Simplify right side
    86,457.30x = 6,721,513,211.65
  5. Step 5: Solve for x
    x = 6,721,513,211.65/86,457.30
  6. Step 6: Final answer
    x = 77,743.73

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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.