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Finding the Fourth Proportional to 72,698.88, 100,298.88 and 47,539.20

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Solution

The fourth proportional to 72,698.88, 100,298.88 and 47,539.20 is: 65,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,698.88 : 100,298.88 = 47,539.20 : x
  2. Step 2: Convert to fraction form
    72,698.88/100,298.88 = 47,539.20/x
  3. Step 3: Cross multiply
    72,698.88x = 100,298.88 × 47,539.20
  4. Step 4: Simplify right side
    72,698.88x = 4,768,128,516.10
  5. Step 5: Solve for x
    x = 4,768,128,516.10/72,698.88
  6. Step 6: Final answer
    x = 65,587.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.