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Finding the Fourth Proportional to 153,762.93, 212,202.27 and 85,780.04

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Solution

The fourth proportional to 153,762.93, 212,202.27 and 85,780.04 is: 118,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,762.93 : 212,202.27 = 85,780.04 : x
  2. Step 2: Convert to fraction form
    153,762.93/212,202.27 = 85,780.04/x
  3. Step 3: Cross multiply
    153,762.93x = 212,202.27 × 85,780.04
  4. Step 4: Simplify right side
    153,762.93x = 18,202,718,147.68
  5. Step 5: Solve for x
    x = 18,202,718,147.68/153,762.93
  6. Step 6: Final answer
    x = 118,381.71

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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.