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Finding the Fourth Proportional to 153,097.63, 211,281.92 and 85,115.72

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Solution

The fourth proportional to 153,097.63, 211,281.92 and 85,115.72 is: 117,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,097.63 : 211,281.92 = 85,115.72 : x
  2. Step 2: Convert to fraction form
    153,097.63/211,281.92 = 85,115.72/x
  3. Step 3: Cross multiply
    153,097.63x = 211,281.92 × 85,115.72
  4. Step 4: Simplify right side
    153,097.63x = 17,983,412,743.78
  5. Step 5: Solve for x
    x = 17,983,412,743.78/153,097.63
  6. Step 6: Final answer
    x = 117,463.69

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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.