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Finding the Fourth Proportional to 107,838.81, 148,775.13 and 72,052.20

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Solution

The fourth proportional to 107,838.81, 148,775.13 and 72,052.20 is: 99,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,838.81 : 148,775.13 = 72,052.20 : x
  2. Step 2: Convert to fraction form
    107,838.81/148,775.13 = 72,052.20/x
  3. Step 3: Cross multiply
    107,838.81x = 148,775.13 × 72,052.20
  4. Step 4: Simplify right side
    107,838.81x = 10,719,575,421.79
  5. Step 5: Solve for x
    x = 10,719,575,421.79/107,838.81
  6. Step 6: Final answer
    x = 99,403.69

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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.