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Finding the Fourth Proportional to 153,538.56, 230,112 and 69,208.32

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Solution

The fourth proportional to 153,538.56, 230,112 and 69,208.32 is: 103,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,538.56 : 230,112 = 69,208.32 : x
  2. Step 2: Convert to fraction form
    153,538.56/230,112 = 69,208.32/x
  3. Step 3: Cross multiply
    153,538.56x = 230,112 × 69,208.32
  4. Step 4: Simplify right side
    153,538.56x = 15,925,664,931.84
  5. Step 5: Solve for x
    x = 15,925,664,931.84/153,538.56
  6. Step 6: Final answer
    x = 103,724.20

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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.