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Finding the Fourth Proportional to 153,030.78, 211,169.03 and 85,043.48

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Solution

The fourth proportional to 153,030.78, 211,169.03 and 85,043.48 is: 117,352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,030.78 : 211,169.03 = 85,043.48 : x
  2. Step 2: Convert to fraction form
    153,030.78/211,169.03 = 85,043.48/x
  3. Step 3: Cross multiply
    153,030.78x = 211,169.03 × 85,043.48
  4. Step 4: Simplify right side
    153,030.78x = 17,958,547,698.36
  5. Step 5: Solve for x
    x = 17,958,547,698.36/153,030.78
  6. Step 6: Final answer
    x = 117,352.52

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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.