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Finding the Fourth Proportional to 260,047.60, 390,071.40 and 126,859.30

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Solution

The fourth proportional to 260,047.60, 390,071.40 and 126,859.30 is: 190,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,047.60 : 390,071.40 = 126,859.30 : x
  2. Step 2: Convert to fraction form
    260,047.60/390,071.40 = 126,859.30/x
  3. Step 3: Cross multiply
    260,047.60x = 390,071.40 × 126,859.30
  4. Step 4: Simplify right side
    260,047.60x = 49,484,184,754.02
  5. Step 5: Solve for x
    x = 49,484,184,754.02/260,047.60
  6. Step 6: Final answer
    x = 190,288.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.