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Finding the Fourth Proportional to 153,074.17, 211,235.79 and 85,091.01

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Solution

The fourth proportional to 153,074.17, 211,235.79 and 85,091.01 is: 117,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,074.17 : 211,235.79 = 85,091.01 : x
  2. Step 2: Convert to fraction form
    153,074.17/211,235.79 = 85,091.01/x
  3. Step 3: Cross multiply
    153,074.17x = 211,235.79 × 85,091.01
  4. Step 4: Simplify right side
    153,074.17x = 17,974,266,719.25
  5. Step 5: Solve for x
    x = 17,974,266,719.25/153,074.17
  6. Step 6: Final answer
    x = 117,421.94

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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.