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Finding the Fourth Proportional to 102,590.80, 153,983.40 and 87,816.40

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Solution

The fourth proportional to 102,590.80, 153,983.40 and 87,816.40 is: 131,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,590.80 : 153,983.40 = 87,816.40 : x
  2. Step 2: Convert to fraction form
    102,590.80/153,983.40 = 87,816.40/x
  3. Step 3: Cross multiply
    102,590.80x = 153,983.40 × 87,816.40
  4. Step 4: Simplify right side
    102,590.80x = 13,522,267,847.76
  5. Step 5: Solve for x
    x = 13,522,267,847.76/102,590.80
  6. Step 6: Final answer
    x = 131,807.80

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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.