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Finding the Fourth Proportional to 257,159.10, 385,800.24 and 107,316.04

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Solution

The fourth proportional to 257,159.10, 385,800.24 and 107,316.04 is: 160,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,159.10 : 385,800.24 = 107,316.04 : x
  2. Step 2: Convert to fraction form
    257,159.10/385,800.24 = 107,316.04/x
  3. Step 3: Cross multiply
    257,159.10x = 385,800.24 × 107,316.04
  4. Step 4: Simplify right side
    257,159.10x = 41,402,553,987.85
  5. Step 5: Solve for x
    x = 41,402,553,987.85/257,159.10
  6. Step 6: Final answer
    x = 160,999.76

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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.