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Finding the Fourth Proportional to 185,280, 255,703.68 and 105,792

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Solution

The fourth proportional to 185,280, 255,703.68 and 105,792 is: 146,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,280 : 255,703.68 = 105,792 : x
  2. Step 2: Convert to fraction form
    185,280/255,703.68 = 105,792/x
  3. Step 3: Cross multiply
    185,280x = 255,703.68 × 105,792
  4. Step 4: Simplify right side
    185,280x = 27,051,403,714.56
  5. Step 5: Solve for x
    x = 27,051,403,714.56/185,280
  6. Step 6: Final answer
    x = 146,002.83

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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.