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Finding the Fourth Proportional to 113,431.16, 170,146.74 and 30,323

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Solution

The fourth proportional to 113,431.16, 170,146.74 and 30,323 is: 45,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,431.16 : 170,146.74 = 30,323 : x
  2. Step 2: Convert to fraction form
    113,431.16/170,146.74 = 30,323/x
  3. Step 3: Cross multiply
    113,431.16x = 170,146.74 × 30,323
  4. Step 4: Simplify right side
    113,431.16x = 5,159,359,597.02
  5. Step 5: Solve for x
    x = 5,159,359,597.02/113,431.16
  6. Step 6: Final answer
    x = 45,484.50

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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.