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Finding the Fourth Proportional to 153,503.16, 211,820.31 and 89,845.80

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Solution

The fourth proportional to 153,503.16, 211,820.31 and 89,845.80 is: 123,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,503.16 : 211,820.31 = 89,845.80 : x
  2. Step 2: Convert to fraction form
    153,503.16/211,820.31 = 89,845.80/x
  3. Step 3: Cross multiply
    153,503.16x = 211,820.31 × 89,845.80
  4. Step 4: Simplify right side
    153,503.16x = 19,031,165,208.20
  5. Step 5: Solve for x
    x = 19,031,165,208.20/153,503.16
  6. Step 6: Final answer
    x = 123,978.98

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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.