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Finding the Fourth Proportional to 153,300, 211,554.24 and 86,232

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Solution

The fourth proportional to 153,300, 211,554.24 and 86,232 is: 119,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,300 : 211,554.24 = 86,232 : x
  2. Step 2: Convert to fraction form
    153,300/211,554.24 = 86,232/x
  3. Step 3: Cross multiply
    153,300x = 211,554.24 × 86,232
  4. Step 4: Simplify right side
    153,300x = 18,242,745,223.68
  5. Step 5: Solve for x
    x = 18,242,745,223.68/153,300
  6. Step 6: Final answer
    x = 119,000.30

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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.