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Finding the Fourth Proportional to 153,657.68, 212,028.36 and 85,658

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Solution

The fourth proportional to 153,657.68, 212,028.36 and 85,658 is: 118,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,657.68 : 212,028.36 = 85,658 : x
  2. Step 2: Convert to fraction form
    153,657.68/212,028.36 = 85,658/x
  3. Step 3: Cross multiply
    153,657.68x = 212,028.36 × 85,658
  4. Step 4: Simplify right side
    153,657.68x = 18,161,925,260.88
  5. Step 5: Solve for x
    x = 18,161,925,260.88/153,657.68
  6. Step 6: Final answer
    x = 118,197.32

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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.