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Finding the Fourth Proportional to 72,853.44, 109,332 and 31,312.32

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Solution

The fourth proportional to 72,853.44, 109,332 and 31,312.32 is: 46,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,853.44 : 109,332 = 31,312.32 : x
  2. Step 2: Convert to fraction form
    72,853.44/109,332 = 31,312.32/x
  3. Step 3: Cross multiply
    72,853.44x = 109,332 × 31,312.32
  4. Step 4: Simplify right side
    72,853.44x = 3,423,438,570.24
  5. Step 5: Solve for x
    x = 3,423,438,570.24/72,853.44
  6. Step 6: Final answer
    x = 46,990.76

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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.