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Finding the Fourth Proportional to 103,513.40, 155,270.10 and 97,389.80

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Solution

The fourth proportional to 103,513.40, 155,270.10 and 97,389.80 is: 146,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,513.40 : 155,270.10 = 97,389.80 : x
  2. Step 2: Convert to fraction form
    103,513.40/155,270.10 = 97,389.80/x
  3. Step 3: Cross multiply
    103,513.40x = 155,270.10 × 97,389.80
  4. Step 4: Simplify right side
    103,513.40x = 15,121,723,984.98
  5. Step 5: Solve for x
    x = 15,121,723,984.98/103,513.40
  6. Step 6: Final answer
    x = 146,084.70

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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.