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Finding the Fourth Proportional to 126,643.60, 189,811.80 and 56,448.40

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Solution

The fourth proportional to 126,643.60, 189,811.80 and 56,448.40 is: 84,604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,643.60 : 189,811.80 = 56,448.40 : x
  2. Step 2: Convert to fraction form
    126,643.60/189,811.80 = 56,448.40/x
  3. Step 3: Cross multiply
    126,643.60x = 189,811.80 × 56,448.40
  4. Step 4: Simplify right side
    126,643.60x = 10,714,572,411.12
  5. Step 5: Solve for x
    x = 10,714,572,411.12/126,643.60
  6. Step 6: Final answer
    x = 84,604.14

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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.