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Finding the Fourth Proportional to 102,023.40, 153,035.10 and 86,933.10

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Solution

The fourth proportional to 102,023.40, 153,035.10 and 86,933.10 is: 130,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,023.40 : 153,035.10 = 86,933.10 : x
  2. Step 2: Convert to fraction form
    102,023.40/153,035.10 = 86,933.10/x
  3. Step 3: Cross multiply
    102,023.40x = 153,035.10 × 86,933.10
  4. Step 4: Simplify right side
    102,023.40x = 13,303,815,651.81
  5. Step 5: Solve for x
    x = 13,303,815,651.81/102,023.40
  6. Step 6: Final answer
    x = 130,399.65

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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.