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Finding the Fourth Proportional to 97,307.60, 145,961.40 and 27,186.80

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Solution

The fourth proportional to 97,307.60, 145,961.40 and 27,186.80 is: 40,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,307.60 : 145,961.40 = 27,186.80 : x
  2. Step 2: Convert to fraction form
    97,307.60/145,961.40 = 27,186.80/x
  3. Step 3: Cross multiply
    97,307.60x = 145,961.40 × 27,186.80
  4. Step 4: Simplify right side
    97,307.60x = 3,968,223,389.52
  5. Step 5: Solve for x
    x = 3,968,223,389.52/97,307.60
  6. Step 6: Final answer
    x = 40,780.20

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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.