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Finding the Fourth Proportional to 97,647.76, 146,471.64 and 31,108.30

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Solution

The fourth proportional to 97,647.76, 146,471.64 and 31,108.30 is: 46,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,647.76 : 146,471.64 = 31,108.30 : x
  2. Step 2: Convert to fraction form
    97,647.76/146,471.64 = 31,108.30/x
  3. Step 3: Cross multiply
    97,647.76x = 146,471.64 × 31,108.30
  4. Step 4: Simplify right side
    97,647.76x = 4,556,483,718.61
  5. Step 5: Solve for x
    x = 4,556,483,718.61/97,647.76
  6. Step 6: Final answer
    x = 46,662.45

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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.