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Finding the Fourth Proportional to 178,710.51, 268,176.57 and 103,865.91

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Solution

The fourth proportional to 178,710.51, 268,176.57 and 103,865.91 is: 155,863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,710.51 : 268,176.57 = 103,865.91 : x
  2. Step 2: Convert to fraction form
    178,710.51/268,176.57 = 103,865.91/x
  3. Step 3: Cross multiply
    178,710.51x = 268,176.57 × 103,865.91
  4. Step 4: Simplify right side
    178,710.51x = 27,854,403,483.73
  5. Step 5: Solve for x
    x = 27,854,403,483.73/178,710.51
  6. Step 6: Final answer
    x = 155,863.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.