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Finding the Fourth Proportional to 102,106.64, 153,159.87 and 31,991.42

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Solution

The fourth proportional to 102,106.64, 153,159.87 and 31,991.42 is: 47,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,106.64 : 153,159.87 = 31,991.42 : x
  2. Step 2: Convert to fraction form
    102,106.64/153,159.87 = 31,991.42/x
  3. Step 3: Cross multiply
    102,106.64x = 153,159.87 × 31,991.42
  4. Step 4: Simplify right side
    102,106.64x = 4,899,801,728.32
  5. Step 5: Solve for x
    x = 4,899,801,728.32/102,106.64
  6. Step 6: Final answer
    x = 47,987.10

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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.