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Finding the Fourth Proportional to 153,694.96, 212,117.16 and 85,722.64

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Solution

The fourth proportional to 153,694.96, 212,117.16 and 85,722.64 is: 118,307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,694.96 : 212,117.16 = 85,722.64 : x
  2. Step 2: Convert to fraction form
    153,694.96/212,117.16 = 85,722.64/x
  3. Step 3: Cross multiply
    153,694.96x = 212,117.16 × 85,722.64
  4. Step 4: Simplify right side
    153,694.96x = 18,183,242,944.50
  5. Step 5: Solve for x
    x = 18,183,242,944.50/153,694.96
  6. Step 6: Final answer
    x = 118,307.35

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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.