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Finding the Fourth Proportional to 102,014.70, 153,009.87 and 27,140.34

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Solution

The fourth proportional to 102,014.70, 153,009.87 and 27,140.34 is: 40,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,014.70 : 153,009.87 = 27,140.34 : x
  2. Step 2: Convert to fraction form
    102,014.70/153,009.87 = 27,140.34/x
  3. Step 3: Cross multiply
    102,014.70x = 153,009.87 × 27,140.34
  4. Step 4: Simplify right side
    102,014.70x = 4,152,739,895.16
  5. Step 5: Solve for x
    x = 4,152,739,895.16/102,014.70
  6. Step 6: Final answer
    x = 40,707.27

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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.