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Finding the Fourth Proportional to 153,100.53, 211,288.23 and 85,118.04

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Solution

The fourth proportional to 153,100.53, 211,288.23 and 85,118.04 is: 117,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,100.53 : 211,288.23 = 85,118.04 : x
  2. Step 2: Convert to fraction form
    153,100.53/211,288.23 = 85,118.04/x
  3. Step 3: Cross multiply
    153,100.53x = 211,288.23 × 85,118.04
  4. Step 4: Simplify right side
    153,100.53x = 17,984,440,012.67
  5. Step 5: Solve for x
    x = 17,984,440,012.67/153,100.53
  6. Step 6: Final answer
    x = 117,468.18

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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.