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Finding the Fourth Proportional to 153,712, 212,122.56 and 86,644

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Solution

The fourth proportional to 153,712, 212,122.56 and 86,644 is: 119,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,712 : 212,122.56 = 86,644 : x
  2. Step 2: Convert to fraction form
    153,712/212,122.56 = 86,644/x
  3. Step 3: Cross multiply
    153,712x = 212,122.56 × 86,644
  4. Step 4: Simplify right side
    153,712x = 18,379,147,088.64
  5. Step 5: Solve for x
    x = 18,379,147,088.64/153,712
  6. Step 6: Final answer
    x = 119,568.72

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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.