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Finding the Fourth Proportional to 153,109.54, 211,317.32 and 98,646.39

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Solution

The fourth proportional to 153,109.54, 211,317.32 and 98,646.39 is: 136,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,109.54 : 211,317.32 = 98,646.39 : x
  2. Step 2: Convert to fraction form
    153,109.54/211,317.32 = 98,646.39/x
  3. Step 3: Cross multiply
    153,109.54x = 211,317.32 × 98,646.39
  4. Step 4: Simplify right side
    153,109.54x = 20,845,691,009.09
  5. Step 5: Solve for x
    x = 20,845,691,009.09/153,109.54
  6. Step 6: Final answer
    x = 136,148.87

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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.