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Finding the Fourth Proportional to 153,667, 212,060.46 and 86,601.40

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Solution

The fourth proportional to 153,667, 212,060.46 and 86,601.40 is: 119,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,667 : 212,060.46 = 86,601.40 : x
  2. Step 2: Convert to fraction form
    153,667/212,060.46 = 86,601.40/x
  3. Step 3: Cross multiply
    153,667x = 212,060.46 × 86,601.40
  4. Step 4: Simplify right side
    153,667x = 18,364,732,720.64
  5. Step 5: Solve for x
    x = 18,364,732,720.64/153,667
  6. Step 6: Final answer
    x = 119,509.93

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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.