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Finding the Fourth Proportional to 153,842.80, 212,303.26 and 85,859.77

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Solution

The fourth proportional to 153,842.80, 212,303.26 and 85,859.77 is: 118,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,842.80 : 212,303.26 = 85,859.77 : x
  2. Step 2: Convert to fraction form
    153,842.80/212,303.26 = 85,859.77/x
  3. Step 3: Cross multiply
    153,842.80x = 212,303.26 × 85,859.77
  4. Step 4: Simplify right side
    153,842.80x = 18,228,308,328.44
  5. Step 5: Solve for x
    x = 18,228,308,328.44/153,842.80
  6. Step 6: Final answer
    x = 118,486.59

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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.