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Finding the Fourth Proportional to 153,290.83, 211,537.02 and 85,306.72

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Solution

The fourth proportional to 153,290.83, 211,537.02 and 85,306.72 is: 117,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,290.83 : 211,537.02 = 85,306.72 : x
  2. Step 2: Convert to fraction form
    153,290.83/211,537.02 = 85,306.72/x
  3. Step 3: Cross multiply
    153,290.83x = 211,537.02 × 85,306.72
  4. Step 4: Simplify right side
    153,290.83x = 18,045,529,334.77
  5. Step 5: Solve for x
    x = 18,045,529,334.77/153,290.83
  6. Step 6: Final answer
    x = 117,720.87

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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.