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Finding the Fourth Proportional to 153,004, 211,165.32 and 85,936

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Solution

The fourth proportional to 153,004, 211,165.32 and 85,936 is: 118,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,004 : 211,165.32 = 85,936 : x
  2. Step 2: Convert to fraction form
    153,004/211,165.32 = 85,936/x
  3. Step 3: Cross multiply
    153,004x = 211,165.32 × 85,936
  4. Step 4: Simplify right side
    153,004x = 18,146,702,939.52
  5. Step 5: Solve for x
    x = 18,146,702,939.52/153,004
  6. Step 6: Final answer
    x = 118,602.80

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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.