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Finding the Fourth Proportional to 122,457.60, 183,643.20 and 43,574.40

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Solution

The fourth proportional to 122,457.60, 183,643.20 and 43,574.40 is: 65,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,457.60 : 183,643.20 = 43,574.40 : x
  2. Step 2: Convert to fraction form
    122,457.60/183,643.20 = 43,574.40/x
  3. Step 3: Cross multiply
    122,457.60x = 183,643.20 × 43,574.40
  4. Step 4: Simplify right side
    122,457.60x = 8,002,142,254.08
  5. Step 5: Solve for x
    x = 8,002,142,254.08/122,457.60
  6. Step 6: Final answer
    x = 65,346.23

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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.