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Finding the Fourth Proportional to 97,140.47, 145,731.42 and 55,040.72

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Solution

The fourth proportional to 97,140.47, 145,731.42 and 55,040.72 is: 82,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,140.47 : 145,731.42 = 55,040.72 : x
  2. Step 2: Convert to fraction form
    97,140.47/145,731.42 = 55,040.72/x
  3. Step 3: Cross multiply
    97,140.47x = 145,731.42 × 55,040.72
  4. Step 4: Simplify right side
    97,140.47x = 8,021,161,554.77
  5. Step 5: Solve for x
    x = 8,021,161,554.77/97,140.47
  6. Step 6: Final answer
    x = 82,572.81

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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.