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Finding the Fourth Proportional to 91,410.78, 137,051.76 and 35,203.80

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Solution

The fourth proportional to 91,410.78, 137,051.76 and 35,203.80 is: 52,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,410.78 : 137,051.76 = 35,203.80 : x
  2. Step 2: Convert to fraction form
    91,410.78/137,051.76 = 35,203.80/x
  3. Step 3: Cross multiply
    91,410.78x = 137,051.76 × 35,203.80
  4. Step 4: Simplify right side
    91,410.78x = 4,824,742,748.69
  5. Step 5: Solve for x
    x = 4,824,742,748.69/91,410.78
  6. Step 6: Final answer
    x = 52,780.89

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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.