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Finding the Fourth Proportional to 257,666.52, 386,609.94 and 133,095

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Solution

The fourth proportional to 257,666.52, 386,609.94 and 133,095 is: 199,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,666.52 : 386,609.94 = 133,095 : x
  2. Step 2: Convert to fraction form
    257,666.52/386,609.94 = 133,095/x
  3. Step 3: Cross multiply
    257,666.52x = 386,609.94 × 133,095
  4. Step 4: Simplify right side
    257,666.52x = 51,455,849,964.30
  5. Step 5: Solve for x
    x = 51,455,849,964.30/257,666.52
  6. Step 6: Final answer
    x = 199,699.40

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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.