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Finding the Fourth Proportional to 157,594.50, 217,484.28 and 85,981.32

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Solution

The fourth proportional to 157,594.50, 217,484.28 and 85,981.32 is: 118,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,594.50 : 217,484.28 = 85,981.32 : x
  2. Step 2: Convert to fraction form
    157,594.50/217,484.28 = 85,981.32/x
  3. Step 3: Cross multiply
    157,594.50x = 217,484.28 × 85,981.32
  4. Step 4: Simplify right side
    157,594.50x = 18,699,585,473.65
  5. Step 5: Solve for x
    x = 18,699,585,473.65/157,594.50
  6. Step 6: Final answer
    x = 118,656.33

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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.