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Finding the Fourth Proportional to 134,978.30, 186,271.84 and 74,548.76

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Solution

The fourth proportional to 134,978.30, 186,271.84 and 74,548.76 is: 102,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,978.30 : 186,271.84 = 74,548.76 : x
  2. Step 2: Convert to fraction form
    134,978.30/186,271.84 = 74,548.76/x
  3. Step 3: Cross multiply
    134,978.30x = 186,271.84 × 74,548.76
  4. Step 4: Simplify right side
    134,978.30x = 13,886,334,694.92
  5. Step 5: Solve for x
    x = 13,886,334,694.92/134,978.30
  6. Step 6: Final answer
    x = 102,878.28

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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.