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Finding the Fourth Proportional to 153,605.96, 211,988.52 and 85,644.96

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Solution

The fourth proportional to 153,605.96, 211,988.52 and 85,644.96 is: 118,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,605.96 : 211,988.52 = 85,644.96 : x
  2. Step 2: Convert to fraction form
    153,605.96/211,988.52 = 85,644.96/x
  3. Step 3: Cross multiply
    153,605.96x = 211,988.52 × 85,644.96
  4. Step 4: Simplify right side
    153,605.96x = 18,155,748,315.86
  5. Step 5: Solve for x
    x = 18,155,748,315.86/153,605.96
  6. Step 6: Final answer
    x = 118,196.90

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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.