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Finding the Fourth Proportional to 153,695.69, 212,099.65 and 85,712.75

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Solution

The fourth proportional to 153,695.69, 212,099.65 and 85,712.75 is: 118,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,695.69 : 212,099.65 = 85,712.75 : x
  2. Step 2: Convert to fraction form
    153,695.69/212,099.65 = 85,712.75/x
  3. Step 3: Cross multiply
    153,695.69x = 212,099.65 × 85,712.75
  4. Step 4: Simplify right side
    153,695.69x = 18,179,643,796.13
  5. Step 5: Solve for x
    x = 18,179,643,796.13/153,695.69
  6. Step 6: Final answer
    x = 118,283.36

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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.