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Finding the Fourth Proportional to 154,978.12, 213,862.80 and 94,539.16

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Solution

The fourth proportional to 154,978.12, 213,862.80 and 94,539.16 is: 130,459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,978.12 : 213,862.80 = 94,539.16 : x
  2. Step 2: Convert to fraction form
    154,978.12/213,862.80 = 94,539.16/x
  3. Step 3: Cross multiply
    154,978.12x = 213,862.80 × 94,539.16
  4. Step 4: Simplify right side
    154,978.12x = 20,218,409,467.25
  5. Step 5: Solve for x
    x = 20,218,409,467.25/154,978.12
  6. Step 6: Final answer
    x = 130,459.77

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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.