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Finding the Fourth Proportional to 157,583.70, 217,381.32 and 106,529.40

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Solution

The fourth proportional to 157,583.70, 217,381.32 and 106,529.40 is: 146,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,583.70 : 217,381.32 = 106,529.40 : x
  2. Step 2: Convert to fraction form
    157,583.70/217,381.32 = 106,529.40/x
  3. Step 3: Cross multiply
    157,583.70x = 217,381.32 × 106,529.40
  4. Step 4: Simplify right side
    157,583.70x = 23,157,501,590.81
  5. Step 5: Solve for x
    x = 23,157,501,590.81/157,583.70
  6. Step 6: Final answer
    x = 146,953.66

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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.