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Finding the Fourth Proportional to 231,320.16, 319,196.16 and 130,718.16

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Solution

The fourth proportional to 231,320.16, 319,196.16 and 130,718.16 is: 180,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,320.16 : 319,196.16 = 130,718.16 : x
  2. Step 2: Convert to fraction form
    231,320.16/319,196.16 = 130,718.16/x
  3. Step 3: Cross multiply
    231,320.16x = 319,196.16 × 130,718.16
  4. Step 4: Simplify right side
    231,320.16x = 41,724,734,714.27
  5. Step 5: Solve for x
    x = 41,724,734,714.27/231,320.16
  6. Step 6: Final answer
    x = 180,376.56

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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.