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Finding the Fourth Proportional to 153,032.76, 211,185 and 85,047.60

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Solution

The fourth proportional to 153,032.76, 211,185 and 85,047.60 is: 117,365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,032.76 : 211,185 = 85,047.60 : x
  2. Step 2: Convert to fraction form
    153,032.76/211,185 = 85,047.60/x
  3. Step 3: Cross multiply
    153,032.76x = 211,185 × 85,047.60
  4. Step 4: Simplify right side
    153,032.76x = 17,960,777,406
  5. Step 5: Solve for x
    x = 17,960,777,406/153,032.76
  6. Step 6: Final answer
    x = 117,365.57

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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.