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Finding the Fourth Proportional to 153,897.42, 212,389.14 and 85,927.75

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Solution

The fourth proportional to 153,897.42, 212,389.14 and 85,927.75 is: 118,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,897.42 : 212,389.14 = 85,927.75 : x
  2. Step 2: Convert to fraction form
    153,897.42/212,389.14 = 85,927.75/x
  3. Step 3: Cross multiply
    153,897.42x = 212,389.14 × 85,927.75
  4. Step 4: Simplify right side
    153,897.42x = 18,250,120,924.64
  5. Step 5: Solve for x
    x = 18,250,120,924.64/153,897.42
  6. Step 6: Final answer
    x = 118,586.27

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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.