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Finding the Fourth Proportional to 153,362.72, 211,647.47 and 85,384.10

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Solution

The fourth proportional to 153,362.72, 211,647.47 and 85,384.10 is: 117,833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,362.72 : 211,647.47 = 85,384.10 : x
  2. Step 2: Convert to fraction form
    153,362.72/211,647.47 = 85,384.10/x
  3. Step 3: Cross multiply
    153,362.72x = 211,647.47 × 85,384.10
  4. Step 4: Simplify right side
    153,362.72x = 18,071,328,845.43
  5. Step 5: Solve for x
    x = 18,071,328,845.43/153,362.72
  6. Step 6: Final answer
    x = 117,833.91

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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.