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Finding the Fourth Proportional to 97,659.60, 146,470.20 and 31,995.60

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Solution

The fourth proportional to 97,659.60, 146,470.20 and 31,995.60 is: 47,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,659.60 : 146,470.20 = 31,995.60 : x
  2. Step 2: Convert to fraction form
    97,659.60/146,470.20 = 31,995.60/x
  3. Step 3: Cross multiply
    97,659.60x = 146,470.20 × 31,995.60
  4. Step 4: Simplify right side
    97,659.60x = 4,686,401,931.12
  5. Step 5: Solve for x
    x = 4,686,401,931.12/97,659.60
  6. Step 6: Final answer
    x = 47,987.11

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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.