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Finding the Fourth Proportional to 102,662.70, 153,921.15 and 39,458.40

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Solution

The fourth proportional to 102,662.70, 153,921.15 and 39,458.40 is: 59,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,662.70 : 153,921.15 = 39,458.40 : x
  2. Step 2: Convert to fraction form
    102,662.70/153,921.15 = 39,458.40/x
  3. Step 3: Cross multiply
    102,662.70x = 153,921.15 × 39,458.40
  4. Step 4: Simplify right side
    102,662.70x = 6,073,482,305.16
  5. Step 5: Solve for x
    x = 6,073,482,305.16/102,662.70
  6. Step 6: Final answer
    x = 59,159.58

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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.