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Finding the Fourth Proportional to 153,457.52, 211,768.16 and 85,474.32

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Solution

The fourth proportional to 153,457.52, 211,768.16 and 85,474.32 is: 117,952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,457.52 : 211,768.16 = 85,474.32 : x
  2. Step 2: Convert to fraction form
    153,457.52/211,768.16 = 85,474.32/x
  3. Step 3: Cross multiply
    153,457.52x = 211,768.16 × 85,474.32
  4. Step 4: Simplify right side
    153,457.52x = 18,100,739,473.65
  5. Step 5: Solve for x
    x = 18,100,739,473.65/153,457.52
  6. Step 6: Final answer
    x = 117,952.77

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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.