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Finding the Fourth Proportional to 101,494.40, 142,403.20 and 101,494.40

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Solution

The fourth proportional to 101,494.40, 142,403.20 and 101,494.40 is: 142,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,494.40 : 142,403.20 = 101,494.40 : x
  2. Step 2: Convert to fraction form
    101,494.40/142,403.20 = 101,494.40/x
  3. Step 3: Cross multiply
    101,494.40x = 142,403.20 × 101,494.40
  4. Step 4: Simplify right side
    101,494.40x = 14,453,127,342.08
  5. Step 5: Solve for x
    x = 14,453,127,342.08/101,494.40
  6. Step 6: Final answer
    x = 142,403.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.