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Finding the Fourth Proportional to 153,175.76, 211,371.72 and 86,117.84

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Solution

The fourth proportional to 153,175.76, 211,371.72 and 86,117.84 is: 118,836.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,175.76 : 211,371.72 = 86,117.84 : x
  2. Step 2: Convert to fraction form
    153,175.76/211,371.72 = 86,117.84/x
  3. Step 3: Cross multiply
    153,175.76x = 211,371.72 × 86,117.84
  4. Step 4: Simplify right side
    153,175.76x = 18,202,875,963.48
  5. Step 5: Solve for x
    x = 18,202,875,963.48/153,175.76
  6. Step 6: Final answer
    x = 118,836.53

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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.