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Finding the Fourth Proportional to 86,670, 119,614.32 and 48,946.68

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Solution

The fourth proportional to 86,670, 119,614.32 and 48,946.68 is: 67,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,670 : 119,614.32 = 48,946.68 : x
  2. Step 2: Convert to fraction form
    86,670/119,614.32 = 48,946.68/x
  3. Step 3: Cross multiply
    86,670x = 119,614.32 × 48,946.68
  4. Step 4: Simplify right side
    86,670x = 5,854,723,844.46
  5. Step 5: Solve for x
    x = 5,854,723,844.46/86,670
  6. Step 6: Final answer
    x = 67,551.91

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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.