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Finding the Fourth Proportional to 153,023.90, 211,156.50 and 85,025.50

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Solution

The fourth proportional to 153,023.90, 211,156.50 and 85,025.50 is: 117,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,023.90 : 211,156.50 = 85,025.50 : x
  2. Step 2: Convert to fraction form
    153,023.90/211,156.50 = 85,025.50/x
  3. Step 3: Cross multiply
    153,023.90x = 211,156.50 × 85,025.50
  4. Step 4: Simplify right side
    153,023.90x = 17,953,686,990.75
  5. Step 5: Solve for x
    x = 17,953,686,990.75/153,023.90
  6. Step 6: Final answer
    x = 117,326.03

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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.