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Finding the Fourth Proportional to 153,695.96, 212,100.01 and 85,713.01

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Solution

The fourth proportional to 153,695.96, 212,100.01 and 85,713.01 is: 118,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,695.96 : 212,100.01 = 85,713.01 : x
  2. Step 2: Convert to fraction form
    153,695.96/212,100.01 = 85,713.01/x
  3. Step 3: Cross multiply
    153,695.96x = 212,100.01 × 85,713.01
  4. Step 4: Simplify right side
    153,695.96x = 18,179,729,533.60
  5. Step 5: Solve for x
    x = 18,179,729,533.60/153,695.96
  6. Step 6: Final answer
    x = 118,283.72

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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.