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Finding the Fourth Proportional to 78,482.37, 117,565.74 and 36,303.24

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Solution

The fourth proportional to 78,482.37, 117,565.74 and 36,303.24 is: 54,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,482.37 : 117,565.74 = 36,303.24 : x
  2. Step 2: Convert to fraction form
    78,482.37/117,565.74 = 36,303.24/x
  3. Step 3: Cross multiply
    78,482.37x = 117,565.74 × 36,303.24
  4. Step 4: Simplify right side
    78,482.37x = 4,268,017,275.00
  5. Step 5: Solve for x
    x = 4,268,017,275.00/78,482.37
  6. Step 6: Final answer
    x = 54,381.86

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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.