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Finding the Fourth Proportional to 31,164.60, 46,749.34 and 15,378.10

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Solution

The fourth proportional to 31,164.60, 46,749.34 and 15,378.10 is: 23,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.60 : 46,749.34 = 15,378.10 : x
  2. Step 2: Convert to fraction form
    31,164.60/46,749.34 = 15,378.10/x
  3. Step 3: Cross multiply
    31,164.60x = 46,749.34 × 15,378.10
  4. Step 4: Simplify right side
    31,164.60x = 718,916,025.45
  5. Step 5: Solve for x
    x = 718,916,025.45/31,164.60
  6. Step 6: Final answer
    x = 23,068.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.