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Finding the Fourth Proportional to 72,001.60, 107,656.80 and 53,339.20

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Solution

The fourth proportional to 72,001.60, 107,656.80 and 53,339.20 is: 79,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,001.60 : 107,656.80 = 53,339.20 : x
  2. Step 2: Convert to fraction form
    72,001.60/107,656.80 = 53,339.20/x
  3. Step 3: Cross multiply
    72,001.60x = 107,656.80 × 53,339.20
  4. Step 4: Simplify right side
    72,001.60x = 5,742,327,586.56
  5. Step 5: Solve for x
    x = 5,742,327,586.56/72,001.60
  6. Step 6: Final answer
    x = 79,752.78

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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.