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Finding the Fourth Proportional to 116,439.65, 160,703.74 and 65,456.58

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Solution

The fourth proportional to 116,439.65, 160,703.74 and 65,456.58 is: 90,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,439.65 : 160,703.74 = 65,456.58 : x
  2. Step 2: Convert to fraction form
    116,439.65/160,703.74 = 65,456.58/x
  3. Step 3: Cross multiply
    116,439.65x = 160,703.74 × 65,456.58
  4. Step 4: Simplify right side
    116,439.65x = 10,519,117,213.61
  5. Step 5: Solve for x
    x = 10,519,117,213.61/116,439.65
  6. Step 6: Final answer
    x = 90,339.65

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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.