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Finding the Fourth Proportional to 126,495.78, 189,918.63 and 64,210.02

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Solution

The fourth proportional to 126,495.78, 189,918.63 and 64,210.02 is: 96,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,495.78 : 189,918.63 = 64,210.02 : x
  2. Step 2: Convert to fraction form
    126,495.78/189,918.63 = 64,210.02/x
  3. Step 3: Cross multiply
    126,495.78x = 189,918.63 × 64,210.02
  4. Step 4: Simplify right side
    126,495.78x = 12,194,679,030.67
  5. Step 5: Solve for x
    x = 12,194,679,030.67/126,495.78
  6. Step 6: Final answer
    x = 96,403.84

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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.