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Finding the Fourth Proportional to 178,232, 245,960.16 and 106,615.04

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Solution

The fourth proportional to 178,232, 245,960.16 and 106,615.04 is: 147,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,232 : 245,960.16 = 106,615.04 : x
  2. Step 2: Convert to fraction form
    178,232/245,960.16 = 106,615.04/x
  3. Step 3: Cross multiply
    178,232x = 245,960.16 × 106,615.04
  4. Step 4: Simplify right side
    178,232x = 26,223,052,296.81
  5. Step 5: Solve for x
    x = 26,223,052,296.81/178,232
  6. Step 6: Final answer
    x = 147,128.76

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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.