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Finding the Fourth Proportional to 153,808, 212,255.04 and 86,740

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Solution

The fourth proportional to 153,808, 212,255.04 and 86,740 is: 119,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,808 : 212,255.04 = 86,740 : x
  2. Step 2: Convert to fraction form
    153,808/212,255.04 = 86,740/x
  3. Step 3: Cross multiply
    153,808x = 212,255.04 × 86,740
  4. Step 4: Simplify right side
    153,808x = 18,411,002,169.60
  5. Step 5: Solve for x
    x = 18,411,002,169.60/153,808
  6. Step 6: Final answer
    x = 119,701.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.