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Finding the Fourth Proportional to 103,549.20, 155,323.80 and 97,717.20

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Solution

The fourth proportional to 103,549.20, 155,323.80 and 97,717.20 is: 146,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,549.20 : 155,323.80 = 97,717.20 : x
  2. Step 2: Convert to fraction form
    103,549.20/155,323.80 = 97,717.20/x
  3. Step 3: Cross multiply
    103,549.20x = 155,323.80 × 97,717.20
  4. Step 4: Simplify right side
    103,549.20x = 15,177,806,829.36
  5. Step 5: Solve for x
    x = 15,177,806,829.36/103,549.20
  6. Step 6: Final answer
    x = 146,575.80

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1.5x scale

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.