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Finding the Fourth Proportional to 178,005.60, 266,792.40 and 102,981.60

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Solution

The fourth proportional to 178,005.60, 266,792.40 and 102,981.60 is: 154,347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,005.60 : 266,792.40 = 102,981.60 : x
  2. Step 2: Convert to fraction form
    178,005.60/266,792.40 = 102,981.60/x
  3. Step 3: Cross multiply
    178,005.60x = 266,792.40 × 102,981.60
  4. Step 4: Simplify right side
    178,005.60x = 27,474,708,219.84
  5. Step 5: Solve for x
    x = 27,474,708,219.84/178,005.60
  6. Step 6: Final answer
    x = 154,347.44

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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.