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Finding the Fourth Proportional to 157,089.68, 216,788.40 and 85,474.34

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Solution

The fourth proportional to 157,089.68, 216,788.40 and 85,474.34 is: 117,957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,089.68 : 216,788.40 = 85,474.34 : x
  2. Step 2: Convert to fraction form
    157,089.68/216,788.40 = 85,474.34/x
  3. Step 3: Cross multiply
    157,089.68x = 216,788.40 × 85,474.34
  4. Step 4: Simplify right side
    157,089.68x = 18,529,845,138.67
  5. Step 5: Solve for x
    x = 18,529,845,138.67/157,089.68
  6. Step 6: Final answer
    x = 117,957.11

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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.