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Finding the Fourth Proportional to 137,325.40, 205,988.10 and 97,667.80

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Solution

The fourth proportional to 137,325.40, 205,988.10 and 97,667.80 is: 146,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,325.40 : 205,988.10 = 97,667.80 : x
  2. Step 2: Convert to fraction form
    137,325.40/205,988.10 = 97,667.80/x
  3. Step 3: Cross multiply
    137,325.40x = 205,988.10 × 97,667.80
  4. Step 4: Simplify right side
    137,325.40x = 20,118,404,553.18
  5. Step 5: Solve for x
    x = 20,118,404,553.18/137,325.40
  6. Step 6: Final answer
    x = 146,501.70

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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.