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Finding the Fourth Proportional to 103,621.36, 155,207.40 and 64,188.40

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Solution

The fourth proportional to 103,621.36, 155,207.40 and 64,188.40 is: 96,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,621.36 : 155,207.40 = 64,188.40 : x
  2. Step 2: Convert to fraction form
    103,621.36/155,207.40 = 64,188.40/x
  3. Step 3: Cross multiply
    103,621.36x = 155,207.40 × 64,188.40
  4. Step 4: Simplify right side
    103,621.36x = 9,962,514,674.16
  5. Step 5: Solve for x
    x = 9,962,514,674.16/103,621.36
  6. Step 6: Final answer
    x = 96,143.45

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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.