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Finding the Fourth Proportional to 153,966, 212,473.72 and 83,310

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Solution

The fourth proportional to 153,966, 212,473.72 and 83,310 is: 114,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,966 : 212,473.72 = 83,310 : x
  2. Step 2: Convert to fraction form
    153,966/212,473.72 = 83,310/x
  3. Step 3: Cross multiply
    153,966x = 212,473.72 × 83,310
  4. Step 4: Simplify right side
    153,966x = 17,701,185,613.20
  5. Step 5: Solve for x
    x = 17,701,185,613.20/153,966
  6. Step 6: Final answer
    x = 114,968.15

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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.