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Finding the Fourth Proportional to 80,312, 110,832.16 and 46,780.16

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Solution

The fourth proportional to 80,312, 110,832.16 and 46,780.16 is: 64,557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,312 : 110,832.16 = 46,780.16 : x
  2. Step 2: Convert to fraction form
    80,312/110,832.16 = 46,780.16/x
  3. Step 3: Cross multiply
    80,312x = 110,832.16 × 46,780.16
  4. Step 4: Simplify right side
    80,312x = 5,184,746,177.95
  5. Step 5: Solve for x
    x = 5,184,746,177.95/80,312
  6. Step 6: Final answer
    x = 64,557.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.