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Finding the Fourth Proportional to 157,374.84, 217,178.46 and 85,756.80

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Solution

The fourth proportional to 157,374.84, 217,178.46 and 85,756.80 is: 118,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,374.84 : 217,178.46 = 85,756.80 : x
  2. Step 2: Convert to fraction form
    157,374.84/217,178.46 = 85,756.80/x
  3. Step 3: Cross multiply
    157,374.84x = 217,178.46 × 85,756.80
  4. Step 4: Simplify right side
    157,374.84x = 18,624,529,758.53
  5. Step 5: Solve for x
    x = 18,624,529,758.53/157,374.84
  6. Step 6: Final answer
    x = 118,345.03

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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.