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Finding the Fourth Proportional to 115,300.70, 172,983.45 and 56,138.30

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Solution

The fourth proportional to 115,300.70, 172,983.45 and 56,138.30 is: 84,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,300.70 : 172,983.45 = 56,138.30 : x
  2. Step 2: Convert to fraction form
    115,300.70/172,983.45 = 56,138.30/x
  3. Step 3: Cross multiply
    115,300.70x = 172,983.45 × 56,138.30
  4. Step 4: Simplify right side
    115,300.70x = 9,710,996,811.14
  5. Step 5: Solve for x
    x = 9,710,996,811.14/115,300.70
  6. Step 6: Final answer
    x = 84,223.23

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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.