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Finding the Fourth Proportional to 153,984, 212,497.92 and 83,328

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Solution

The fourth proportional to 153,984, 212,497.92 and 83,328 is: 114,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,984 : 212,497.92 = 83,328 : x
  2. Step 2: Convert to fraction form
    153,984/212,497.92 = 83,328/x
  3. Step 3: Cross multiply
    153,984x = 212,497.92 × 83,328
  4. Step 4: Simplify right side
    153,984x = 17,707,026,677.76
  5. Step 5: Solve for x
    x = 17,707,026,677.76/153,984
  6. Step 6: Final answer
    x = 114,992.64

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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.