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Finding the Fourth Proportional to 139,637.10, 209,455.65 and 102,458.10

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Solution

The fourth proportional to 139,637.10, 209,455.65 and 102,458.10 is: 153,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,637.10 : 209,455.65 = 102,458.10 : x
  2. Step 2: Convert to fraction form
    139,637.10/209,455.65 = 102,458.10/x
  3. Step 3: Cross multiply
    139,637.10x = 209,455.65 × 102,458.10
  4. Step 4: Simplify right side
    139,637.10x = 21,460,427,933.27
  5. Step 5: Solve for x
    x = 21,460,427,933.27/139,637.10
  6. Step 6: Final answer
    x = 153,687.15

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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.