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Finding the Fourth Proportional to 153,709, 212,118.42 and 86,641

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Solution

The fourth proportional to 153,709, 212,118.42 and 86,641 is: 119,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,709 : 212,118.42 = 86,641 : x
  2. Step 2: Convert to fraction form
    153,709/212,118.42 = 86,641/x
  3. Step 3: Cross multiply
    153,709x = 212,118.42 × 86,641
  4. Step 4: Simplify right side
    153,709x = 18,378,152,027.22
  5. Step 5: Solve for x
    x = 18,378,152,027.22/153,709
  6. Step 6: Final answer
    x = 119,564.58

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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.