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Finding the Fourth Proportional to 153,003, 211,154.22 and 85,935

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Solution

The fourth proportional to 153,003, 211,154.22 and 85,935 is: 118,595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,003 : 211,154.22 = 85,935 : x
  2. Step 2: Convert to fraction form
    153,003/211,154.22 = 85,935/x
  3. Step 3: Cross multiply
    153,003x = 211,154.22 × 85,935
  4. Step 4: Simplify right side
    153,003x = 18,145,537,895.70
  5. Step 5: Solve for x
    x = 18,145,537,895.70/153,003
  6. Step 6: Final answer
    x = 118,595.96

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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.