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Finding the Fourth Proportional to 253,898.96, 380,888.73 and 102,095.64

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Solution

The fourth proportional to 253,898.96, 380,888.73 and 102,095.64 is: 153,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,898.96 : 380,888.73 = 102,095.64 : x
  2. Step 2: Convert to fraction form
    253,898.96/380,888.73 = 102,095.64/x
  3. Step 3: Cross multiply
    253,898.96x = 380,888.73 × 102,095.64
  4. Step 4: Simplify right side
    253,898.96x = 38,887,078,658.14
  5. Step 5: Solve for x
    x = 38,887,078,658.14/253,898.96
  6. Step 6: Final answer
    x = 153,159.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.