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Finding the Fourth Proportional to 214,897.90, 322,411.24 and 86,748.20

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Solution

The fourth proportional to 214,897.90, 322,411.24 and 86,748.20 is: 130,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,897.90 : 322,411.24 = 86,748.20 : x
  2. Step 2: Convert to fraction form
    214,897.90/322,411.24 = 86,748.20/x
  3. Step 3: Cross multiply
    214,897.90x = 322,411.24 × 86,748.20
  4. Step 4: Simplify right side
    214,897.90x = 27,968,594,729.77
  5. Step 5: Solve for x
    x = 27,968,594,729.77/214,897.90
  6. Step 6: Final answer
    x = 130,148.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.