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Finding the Fourth Proportional to 152,460, 210,394.80 and 85,392

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Solution

The fourth proportional to 152,460, 210,394.80 and 85,392 is: 117,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,460 : 210,394.80 = 85,392 : x
  2. Step 2: Convert to fraction form
    152,460/210,394.80 = 85,392/x
  3. Step 3: Cross multiply
    152,460x = 210,394.80 × 85,392
  4. Step 4: Simplify right side
    152,460x = 17,966,032,761.60
  5. Step 5: Solve for x
    x = 17,966,032,761.60/152,460
  6. Step 6: Final answer
    x = 117,840.96

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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.