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Finding the Fourth Proportional to 153,090.06, 211,281.78 and 85,113.78

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Solution

The fourth proportional to 153,090.06, 211,281.78 and 85,113.78 is: 117,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,090.06 : 211,281.78 = 85,113.78 : x
  2. Step 2: Convert to fraction form
    153,090.06/211,281.78 = 85,113.78/x
  3. Step 3: Cross multiply
    153,090.06x = 211,281.78 × 85,113.78
  4. Step 4: Simplify right side
    153,090.06x = 17,982,990,940.93
  5. Step 5: Solve for x
    x = 17,982,990,940.93/153,090.06
  6. Step 6: Final answer
    x = 117,466.74

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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.