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Finding the Fourth Proportional to 136,122, 187,848.36 and 76,506

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Solution

The fourth proportional to 136,122, 187,848.36 and 76,506 is: 105,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,122 : 187,848.36 = 76,506 : x
  2. Step 2: Convert to fraction form
    136,122/187,848.36 = 76,506/x
  3. Step 3: Cross multiply
    136,122x = 187,848.36 × 76,506
  4. Step 4: Simplify right side
    136,122x = 14,371,526,630.16
  5. Step 5: Solve for x
    x = 14,371,526,630.16/136,122
  6. Step 6: Final answer
    x = 105,578.28

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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.