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Finding the Fourth Proportional to 119,233.60, 178,389.60 and 77,761.60

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Solution

The fourth proportional to 119,233.60, 178,389.60 and 77,761.60 is: 116,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,233.60 : 178,389.60 = 77,761.60 : x
  2. Step 2: Convert to fraction form
    119,233.60/178,389.60 = 77,761.60/x
  3. Step 3: Cross multiply
    119,233.60x = 178,389.60 × 77,761.60
  4. Step 4: Simplify right side
    119,233.60x = 13,871,860,719.36
  5. Step 5: Solve for x
    x = 13,871,860,719.36/119,233.60
  6. Step 6: Final answer
    x = 116,341.88

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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.